The tiny freshwater polyp Hydra does not show any signs of aging and is potentially immortal.  There is a rather simple biological explanation for this: these animals exclusively reproduce by budding rather than by mating.
Would we want to be Immortals?
Dying is part of life and yet we are so obsessed with bypassing it.
Someone has convinced us that we are just a set flesh and bones – the more this set is kept “running” (like a… machine?) the better.
So there it is!
A primitive animal has the ability to be immortal. We don’t.
Doesn’t that tell you something about immortality?