There is a hypothesis that life emerged because living things dissipate energy more efficiently[0]. As one possible implication, individual immortality given humanity as we know it might appear counter to that goal. As a more far-fetched implication, evolving humanity in a way that motivates accelerating efficiency of energy capture and dissipation even as individual longevity increases could theoretically unexpectedly inch us closer to immortality.
[0] https://www.quantamagazine.org/a-new-thermodynamics-theory-o...