I assume you are asking whether you can change the gmail account without resetting the phone. I think the answer is no. You cannot re-associate the phone with another gmail account without a reset.
BUT . . .
I would try adding the gmail account with the name you like first. Then try to delete the account you don't want anymore. That might work. If not, then you're going to have to do the reset.
Good luck.
~aviduser