If someone made payments to purchase vehicle then changed their mind are they entitled to a refund of payments?

Most states do not have a cooling off period. Witch means that if you buy a car and then change your mind you are still responsible for making the payments. If you fail to make the payments your vehicle will be repossessed and sold to satisfy the lean holder. So no you will not get your money back, in fact you may have to make up the difference if the car sells for less than the loan amount.