If every human that ever lived could live forever, would we have been born? And today, would there be enough space, enough resources, to live a comfortable life worth living if forever? I'm not saying that it makes sense to kill people to create more comfortable life here (as some might take it), what I'm saying is there's an upper bounds to letting people live for a long long time without impacting any future life negatively. One person living forever is not really be a big deal. But everyone? At which point we have to ask, if people have that right to death, how does it impact other's right to life, right to shelter, right to clean water, and so on. They impact each other.
On a side note, there's a fantastic albeit cheaply made film called The Man From Earth that follows a conversation with someone who claims to have lived since the dawn of man. It's great concept, and I highly recommend a watch. https://en.wikipedia.org/wiki/The_Man_from_Earth