There is no physical/chemical/biological reason you can’t live indefinitely with the health and vitality of a 25-35 year old. Aging isn’t a law of nature.
Assuming no proton decay, its life span (for baryonic beings such as us) is far beyond 10^1500 years, so I don't think that "lifespan of the universe" is a limiting factor here. Nobody's speaking of living an infinitely long life.