A lease is not up until next year. But a person would like a bank to take over a loan on the vehicle. How would a person get out of the lease and buy the car before the lease is actually up?

You are probably still liable for the 1 year outstanding on the lease since you agreed to pay the specified amount when you signed your contract. You will most likely have to make the rest of your payments or roll the additional cost into your new loan. You should check with the bank you intend to get your new loan from though...