Got a concussion in a pillow fight. I was in the top bunk in a lean-to at summer camp when I was maybe 13 or 14. Forgetting the low ceiling above me, I jumped to my feet, planning on launching a pillow at someone poking around another bed. Promptly slammed my head into the ceiling, knocked myself out and wound up going to the doctor shortly after. Pretty sure I still have a disc somewhere with images of the small minor brain bleeding I got as a result.
There are countries that do, but you’ll still need to demonstrate that you have the financial means to support yourself without working or needing recourse to public services for the duration of your study, so there’s still a fairly significant financial barrier to entry for most individuals. If you have the money to put down for 3 years of rent, food, utilities, etc, while you complete a degree in Europe, I imagine you’re generally doing pretty okay for yourself in the US.