Yes, lots of things are possible. I imagine there are both cultural and regulatory differences between the health insurance market in Switzerland vs the US.
Yes, I agree. I suspect it's a regulatory problem, that's why I asked - I'd like to know the specifics.
This link seems to cover a lot of the differences. It sounds like a decent system, but not one that would ever work in the US. The private healthcare companies have too much to money to lose and would use the media to frame such as system as communist and dangerous.