That's certainly the standard left-wing perspective on it, yes. The problem with this is that just declaring something like healthcare a "right" doesn't give people it - you need vast numbers of doctors, hospitals, surgeons and medications and supplies, all of which have to be funded and organised somehow. You need some way of keeping the costs under control and the services operating effectively across something with hundreds of millions of customers. The American left has no more idea how to do this than the right, so they resort to emotional appeals instead.