Of course they do! The constitution is built on the belief of Natural Law. When we are born, we are individuals (which gives us the right to pursue happiness). We have life (therefore we have a right to live) and essentially, we have freedom (which gives us the right to that).
The right to life, liberty and the pursuit of happiness.
We are not born with our bank account (at least, most of us aren't). We are not born owning a home, in command of a health care plan, with our own car and a job. Those are things that as we grow, we earn by working for them.
Health care is not a right. It is something that is purchased, therefore it is something that each individual must work to purchase if that is their choice.