Can the bank remove a name from the deed?

My house is under my name and my brother on the deed. Currently our mortgage is under bank of America. The deed has my name and my brother for the house. Though the loan for the house is under my brother and wife's name.

I am trying to refinance. And my brother wants to give me the house so we want to remove his name off the deed.

Chase bank says if we refiance with them all my brother needs to do is to sign something and that they can remove his name off the deed for us.

Can a bank remove a name off the deed? Or did they mean remove the name from the loan?

Read more: Can the bank remove a name from the deed?