If you look at the bigger picture, one of the major property of life is to keep the system away from equilibrium.
Yes I once described life as anti-reality! Sometimes I even describe life as anti-life! In the sense that biological life basically opposes 'life' meaning reality, or nature, or entropy. But if, as physicists are telling us, entropy is a sure thing, then life is doomed to fail. So we're basically fighting a hopeless fight! I don't mean to sound nihilistic, cause I'm definitely anti-nihilist, but it's just an interesting way of looking at things.
The way I view biological bodies, is that we're already immortal, just not at the level we want. We are immortal at the gene level, not the person level. The genes use the body as a vehicle, and discard it as they see fit. But an old person can still produce a baby with young cheeks, young heart, free of cancer, etc., so in principle the ability to fix everything is there, never dying.
Loss of information is a rule of nature, like if you keep xeroxing a piece of printed A4 paper it will eventually just become a blank page or full of nonsense letters. But the constant pressure of natural selection gets rid of mistakes so the genes copying themselves don't get progressively worse at it. Trying their best to fight nature, as you say!