Yes, indeed you can. The prophet (peace be upon him) told us directly to name our kids after him. He (peace be upon him) said: “name after my name.” (Al-Bukhari)
The same thing applies for Musa and all other prophets. As to the meaning of the name Musa: it is in Hebrew (the pulled from water) and in Coptic language (the newly born.)
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Views expressed by hosts/guests on this program (live dialogue, Facebook sessions, etc.) are their own and their appearance on the program does not imply an endorsement of them or any entity they represent.