I could go buy a car in cash today with 0 paperwork. It only has to be titled and registered if I drive it on public roads. Even that’s like 90% a technicality. I drove a couple thousand miles on tags that were 6 years out of date (didn’t drive it but moved and had to move it).
Most states also let you drive on dealer plates for 30 days or so. Steve Jobs notoriously got a new car every month so he never had to have real plates.
If the presumed goal is “acquire a car and do bad things with it immediately”, then no, there’s no regulation preventing that. You can buy a car off Craigslist and play bumper cars on the highway 5 minutes later without ever talking to the government or proving anything.
Basically the entirety of car regulation is to protect normal folk from normal problems, not preventing the insane from doing insane things.