Yes but there are cars that can’t be insured due to condition, danger, etc.
You will have to allow insurance companies to refuse people (or set very high premiums!) whose behavior has too damaged them to insure. Who makes that decision, what’s the parameters and are the conditions nation-wide, state-wide or local. It would be a very hard sell!
This is the old Obama Care insurance pools where the government tried to force high risk populations drug users, gays (high AIDS numbers and other STDs!) as well as the high health risk urban populations into “normal” populations. Not doing it and the screams of discrimination will drown out all actuarial table logic.
Everything wrong with American society today is because of the belief that no bad thing must ever happen to anyone. The government MUST rescue us. From everything. Government oversight rules all and ensures that everything is perfect for everyone. How’s that working? The world would be a better place is government shrugged and said, “Yup. Some folks can’t get health insurance.” But we seem to find such a thought intolerable. Voila! ObamaCare.