Something is only a "right", if use of that right does not directly affect another person. i.e. free health care affects the income(s) of those workers providing that care. health care is therefore a benefit, not a right.
I would say most "rights" are granted. That's different from a few special rights - here in the US, we assume that we are "endowed by [our] Creator with certain unalienable Rights" including Life, Liberty and Pursuit of Happiness. So those are not granted, but divinely endowed.
However, holding on to all our property and wealth, despite legally imposed taxes, is not that kind of a right (inalienable and divinely endowed).
So if there's a tax imposed for the purpose of providing healthcare, I don't think it's our right not to pay it. No more than it is our right to evade taxes that fund schools other people's children go to, nor keep all our money to avoid building roads that others will drive on.