Ok, I'll go along with that. It's not specifically in the bill of rights, but we can all probably agree that it is a fundemental human right.
The rights laid out in the Constitution describe what the US Government may not impose upon us.
1st Ammendment- Congress shall make no law respecting an establishment of religion, or prohibiting the free exercise thereof; or abridging the freedom of speech, or of the press; or the right of the people peaceably to assemble, and to petition the Government for a redress of grievances.
2nd Amendment - A well regulated Militia, being necessary to the security of a free State, the right of the People to keep and bear Arms, shall not be infringed.
3rd Amendment - No Soldier shall, in time of peace be quartered in any house, without the consent of the Owner, nor in time of war, but in a manner to be prescribed by law.
4th Amendment - The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no Warrants shall issue, but upon probable cause, supported by Oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.
Since our Constitutional rights tell us what the Government cannot do to us, then it probably should not be allowed to impose any laws that regulate how we and our doctors interact with each other. Any law that suggests otherwise is an infringement on our freedom.
If you want to define "rights" as what government ought to regulate and provide FOR us, then I would like to know why the Government is not providing us with arms. Why is it not giving us free internet and a government paid platform for us to issue forth our free speech? Why is there not a guard or two posted at my door to make sure no one attempts to search my property without a warrant?
So lets call health care a right. I'm cool with that. I can't afford it, but I can't afford a really really nice gun either.