It would be a problem for my 2012 Honda Civic with 5.5" of ground clearance.
Hitting that at any speed is unlikely to make for a fun day.
When I was a teenager I had a tiny Datsun 510. After a day of snowboarding I was making my way out of a ski resort parking lot and hit a small dip. The engine came down onto a tiny mountain of packed snow/ice and managed to crack both the radiator and the oil pan. That was an expensive day on the slopes.
Maybe a freak accident, but that car was very light and I was surprised at the damage as well. My cousin worked at the resort at the time and he said it would happen frequently.