🔼The name Harsha in the Bible
There's only one man named Harsha in the Bible. His name occurs twice, but in the exact same context. Both Ezra and Nehemiah report the "sons" of Harsha to have returned from Babylon with the Zerubbabel wave (Ezra 2:52 and Nehemiah 7:54). Note that both Ezra and Nehemiah also mention a place called Tel-harsha (Ezra 2:59, Nehemiah 7:61).
🔼Etymology of the name Harsha
The name Harsha comes from any of the four root-verbs חרשׁ (harash):
The letter א (aleph) upon which our name ends is probably prosthetic. It looks snazzy but adds no further meaning.
For a meaning of the name Harsha, both NOBSE Study Bible Name List and Jones' Dictionary of Old Testament Proper Names figure it has to do with the root חרשׁ IV and read Enchanter. BDB Theological Dictionary doesn't translate our name but does list it under חרשׁ IV.