Not really it is simply making payments on an owed debt. But both parties must agree to a contract.
Also, hospitals have a pretty good lobby in most states and out of the kindness of their heart and the fact that even a well-insured person is likely going to need some time to pay off the deductible and copay of even the most minor procedure they allow people to pay out debts without a finance agreement.
Because they have a good lobby in most states I would find it close to impossible to believe that a law would get passed that could and likely would run a pretty good chance of making hospitals either stopping the practice of allowing payoffs without a finance contract in place or doing so and charging credit card level interest.

