But your body came from natural resources initially. If you do not have a legitimate right to appropriate natural resources and make exclusive use of what you transform said resources into, it follows that you cannot have a right to your own body.
I have no problem charging private entities rent for the appropriation of natural resources. What I have a problem with is demanding a share of the private property that they fashion out of those natural resources. From a public standpoint, it should make no difference if someone appropriates a ton of iron ore and places it in their living room as a collector's item, or if they use it to create a supercomputer. They should pay the same fee to the public in both cases, since it is the natural resource usage that should be charged, (and that the public has a legitimate right to charge a fee for), and not their private actions upon that material. But current tax laws, and Proudhon's argument which the parent comment cites, delegitimizes the value that one adds in the process of creating the latter.