Yes, the right to die is one of the implied rights from the delineated right to life. Similarly, the right to NOT vote is implied from the right to vote. The right to NOT practice a religion is implied from the right to practice religion. The right to stay single is implied from the right to marry. The right to stay home from rallies is implied from the right to assemble. Or do you believe that people should be compelled to gather for rallies? to marry, to attend religious services, to vote? That's not my America.
That is, the right of self-determination is given by our Creator ("divine" in Thomas Jefferson's first draft of the DoI) and is not to be taken from us, no matter how much you want the government to rule our lives.
However, what is the "right" to die? Was Terri Schiavo allowed to exercise her rights? Why have anti-suicide laws never been ruled unconstitutional?