I suppose you could make an arguement for certain names.
E.G,
Daniel is a Hebrew name meaning "God is my judge." "My" is gender neutral & could be a man or woman referring to themselves.
Names like:
Raphael: God heals.
Emmanuel /
Immanuel : God with us
These names within reason could be gender bent If you will.
But names like
Abraham : FATHER of all nations
Reuben : behold a SON
Moses: I drew HIM out of water
Have very specific gendered identities & I don't think any little girl should be saddled with then.
Anything else will have to rely on personal discretion.
Market women who talk all at once