The short answer is no.
There are only two baptisms with the Holy Spirit recorded.
The first baptism was that of the 12 apostles at Pentecost.
Acts 1:5 For John truly baptized with water; but ye shall be baptized with the Holy Spirit not many days hence.
Acts 2:1 And when the day of Pentecost was fully come, they were all with one accord in one place. 2 And suddenly there came a sound from heaven as of a rushing mighty wind, and it filled all the house where they were sitting. 3 And there appeared unto them cloven tongues like as of fire, and it sat upon each of them. 4 And they were all filled with the Holy Spirit, and began to speak with other tongues, as the Spirit gave them utterance.
The second baptism was that of the household of Cornelius:
Acts 11:15 And as I began to speak, the Holy Spirit fell on them, as on us at the beginning. 16 Then remembered I the word of the Lord, how that he said, John indeed baptized with water; but ye shall be baptized with the Holy Spirit. 17 Forasmuch then as God gave them the like gift as he did unto us, who believed on the Lord Jesus Christ; what was I, that I could withstand God? 18 When they heard these things, they held their peace, and glorified God, saying, Then hath God also to the Gentiles granted repentance unto life.
The Holy Spirit baptism of the household of Cornelius before water baptism, was a special case to show Peter and the Jewish believers that the Gentiles were to be accepted into the faith.
Normally gifts of the Holy Spirit were given by the laying on of the apostles’ hands as demonstrated in Acts 8:
Acts 8:5 Then Philip went down to the city of Samaria, and preached Christ unto them. 6 And the people with one accord gave heed unto those things which Philip spake, hearing and seeing the miracles which he did. 7 For unclean spirits, crying with loud voice, came out of many that were possessed with them: and many taken with palsies, and that were lame, were healed. 8 And there was great joy in that city. 9 But there was a certain man, called Simon, which beforetime in the same city used sorcery, and bewitched the people of Samaria, giving out that himself was some great one: 10 To whom they all gave heed, from the least to the greatest, saying, This man is the great power of God. 11 And to him they had regard, because that of long time he had bewitched them with sorceries. 12 But when they believed Philip preaching the things concerning the kingdom of God, and the name of Jesus Christ, they were baptized, both men and women. 13 Then Simon himself believed also: and when he was baptized, he continued with Philip, and wondered, beholding the miracles and signs which were done. 14 Now when the apostles which were at Jerusalem heard that Samaria had received the word of God, they sent unto them Peter and John: 15 Who, when they were come down, prayed for them, that they might receive the Holy Spirit: 16 (For as yet he was fallen upon none of them: only they were baptized in the name of the Lord Jesus.) 17 Then laid they their hands on them, and they received the Holy Spirit. 18 And when Simon saw that through laying on of the apostles’ hands the Holy Spirit was given, he offered them money, 19 Saying, Give me also this power, that on whomsoever I lay hands, he may receive the Holy Spirit. 20 But Peter said unto him, Thy money perish with thee, because thou hast thought that the gift of God may be purchased with money.
Not everyone who was baptised received Holy Spirit gifts, and the gifts varied as Paul explains:
1 Corinthians 12:1 Now concerning spiritual gifts, brethren, I would not have you ignorant. 3 Wherefore I give you to understand, that no man speaking by the Spirit of God calleth Jesus accursed: and that no man can say that Jesus is the Lord, but by the Holy Ghost. 4 Now there are diversities of gifts, but the same Spirit. 5 And there are differences of administrations, but the same Lord. 6 And there are diversities of operations, but it is the same God which worketh all in all. 7 But the manifestation of the Spirit is given to every man to profit withal. 8 For to one is given by the Spirit the word of wisdom; to another the word of knowledge by the same Spirit; 9 To another faith by the same Spirit; to another the gifts of healing by the same Spirit; 10 To another the working of miracles; to another prophecy; to another discerning of spirits; to another divers kinds of tongues; to another the interpretation of tongues: 11 But all these worketh that one and the selfsame Spirit, dividing to every man severally as he will. 12 For as the body is one, and hath many members, and all the members of that one body, being many, are one body: so also is Christ.
1 Corinthians 12:28 And God hath set some in the church, first apostles, secondarily prophets, thirdly teachers, after that miracles, then gifts of healings, helps, governments, diversities of tongues. 29 Are all apostles? are all prophets? are all teachers? are all workers of miracles? 30 Have all the gifts of healing? do all speak with tongues? do all interpret? 31 But covet earnestly the best gifts: and yet shew I unto you a more excellent way.
Paul goes on to explain that Holy Spirit gifts won’t save us.
1 Corinthians 13:1 Though I speak with the tongues of men and of angels, and have not charity (love), I am become as sounding brass, or a tinkling cymbal. 2 And though I have the gift of prophecy, and understand all mysteries, and all knowledge; and though I have all faith, so that I could remove mountains, and have not charity, I am nothing. 3 And though I bestow all my goods to feed the poor, and though I give my body to be burned, and have not charity, it profiteth me nothing. 4 Charity suffereth long, and is kind; charity envieth not; charity vaunteth not itself, is not puffed up, 5 Doth not behave itself unseemly, seeketh not her own, is not easily provoked, thinketh no evil; 6 Rejoiceth not in iniquity, but rejoiceth in the truth; 7 Beareth all things, believeth all things, hopeth all things, endureth all things. 8 Charity never faileth: but whether there be prophecies, they shall fail; whether there be tongues, they shall cease; whether there be knowledge, it shall vanish away. 9 For we know in part, and we prophesy in part. 10 But when that which is perfect is come, then that which is in part shall be done away. 11 When I was a child, I spake as a child, I understood as a child, I thought as a child: but when I became a man, I put away childish things. 12 For now we see through a glass, darkly; but then face to face: now I know in part; but then shall I know even as also I am known. 13 And now abideth faith, hope, charity, these three; but the greatest of these is charity.
The Holy Spirit gifts were necessary for the rapid establishment of the church.
With the death of the apostles, the gifts ceased.
This is clear from church history.
By that time, the New Testament scriptures were finished and the Gospel and doctrines were complete.
The possession of Holy Spirit gifts doesn’t save us.
It is the word of God understood and obeyed which saves us.
1 Peter 1:23 Being born again, not of corruptible seed, but of incorruptible, by the word of God, which liveth and abideth for ever.
May I suggest that you read the booklet entitled The Holy Spirit (please click on the title)
I hope you find this helpful.