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Yes they are Babylonian names:
Daniel 1:6,7 Now among these were of the children of Judah, Daniel, Hananiah, Mishael, and Azariah: 7 Unto whom the prince of the eunuchs gave names: for he gave unto Daniel the name of Belteshazzar; and to Hananiah, of Shadrach; and to Mishael, of Meshach; and to Azariah, of Abednego. The complete story of Daniel's 3 friends may be found in Daniel 1:7; 2:49; and all of chapter 3.
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