Oh, yes. But US liability law is a funny thing and its reach is vast. That's why US swimming pools tend to be surrounded with serious fencing with locked gates: to avoid liability for the kids and drunks and $OUT_GROUP members who would otherwise wander in and drown.
Sure you can. You just cannot use standard cheap home policies. I have learned that someone somewhere will always write a policy. It may be crazy expensive. But they will write it.