No. NO. NO! You have no duty whatsoever to provide a recorded statement to the other driver’s insurance company. The insurance company will often send letters to you after a car crash stating they will “close their file” if you do not make contact and give a statement. This is not true. You also do not have to give the insurance company a medical release. Your best bet is to talk to an auto accident lawyer. Let them deal with the insurance company. It’s their job. Let them work for you.