Then there is no such right as a "right to heath care."
Even if there was, the only right you would have is to perform your own health care. There are a lot of web sites which show you how to take out an appendix. Just grab a knife and a mirror. If I stand in your way, or if I take away your knife or your mirror, then I suppose you could say I was obstructing your right to take out your own appendix. But other than that, you have no "right to health care" any more than you have a right to happiness.
Do you believe in the right to life?