There are several putty-like concepts in that question. Let's start with affordability.
If you can't pay for your health care out of pocket, then neither can you pay for it through insurance premiums or taxes, which cannot lower its underlying cost. That doesn't mean you won't get it, but it does mean someone else will have to volunteer or to be forced to pay for yours. Under those conditions, health care is unaffordable for you. The only way to make it affordable is to reduce its cost to a level you can cover.
Next, let's look at access. That is a synonym for availability. If you live in a place with no health care providers, and no transportation to another place that has them, you do not have access. Neither do you have it if you are barred from receiving it for a conditional reason, e.g. if you are an illegal alien in a jurisdiction that refuses it to those, or if you can't pay for it and no one else covers your bill for you. The last of those leads us back to the matter of affordability. In the US today, providers and transportation are available virtually everywhere, so the term "access" is really a front for the issue of affordability, which is to say it represents the question of who is to pay for yours.
That brings us to that much abused word, "right." There are different categories of rights. Natural rights are inherent in the state of being human. Those are the ones the anti-Federalists had in mind when they forced the Federalists to accept the Bill of Rights, which is not a list of rights to be provided by the US government but a list of those the people have by virtue of their humanity, and from violation of which the US government is explicitly forbidden. Among them is the free possession and use of one's property. 'A' may freely choose to pay for the health care provided to 'B,' but if he is forced to do so his rights are violated. There is thus no natural right to health care aside from ability to provide it for yourself. Obtaining it at another's unwilling expense is a privilege, not a right. We often call such legally enforced privileges "rights," but that's a tactic of political argument, not a truth.
Therefore, there is no right of access to affordable health care. The only rightful way to make health care available to all is to reduce its cost so it is affordable to most, and to recognize that those who cannot must receive it as a privilege, at the expense of others. We like to hide those hard facts from ourselves.