They also did that in Back to the Future III with the Delorian, of course the tires were removed from the rims, not blown out.
The question would be a matter of if the wheel base matches the gauge, are the rims 4 feet 8.5 inches apart? Some cars may have the right wheelbase, but most probably wouldn't, especially since the trend of newer cars tends to be wider.
Before someone mentions Hy-Rail trucks, those use special rims where the tires are closer together, they are not stock rims, but are designed to hold the tires on the gauge. Hy-Rail trucks also aren't supported by their tires while on the rails, the guide wheels provide the majority of the support with the road tires simply holding enough grip to drive the vehicle.
I've seen work carts which use standard car rims, they're not powered, and the carts are built specifically to the gauge. If the hubs are directly over the rails, and the rims are strong enough to hold the weight, then the rims themselves should be able to work, but like I said before, your average passenger car most likely will not have the correct gauge.
Trains aren't dangerous, it's lack of common sense that's dangerous.