getting a new bank question

so i have bank of america but i don’t want that bank anymore. so im going to get a new bank, . If i still owe money for bank of america, will they let me make another account for another bank? or i have to pay bank of america off first and switch banks?

or they won’t look at it ?? will they care if i owe money to another bank? i only owe 200 dolllars to bank of america but never had time to pay it off.. i have 2 jobs so.