Nope. If nothing else and far beyond the actual sophisticated engineering (*not* rhetorical) problem this represents, to render life endless is simultaneously to render it meaningless.
It may not always be obvious but value is not anywhere near so much a function of abundance as it is of scarcity. It is the transience of our experience that inscribes it with meaning and in a context of infinite space and time (as endless duration), the potentially sad fact remains that to live forever is to no longer in any essential or meaningful way to be human.
Daedelus Kite 