It’s not, but that’s not particularly relevant, because we’re talking about the ability to override the basic engineering of the human body anyway.
I think literal immortality is imposible. (If it’s possible it would seem to violate what we know of the laws of thermodynamics; if the entire universe has to break down sometime, how can we avoid that fate?)
However, effective immortality would seem to be. We understand the basic building blocks of the human body. We can synthesize them. Theoretically with enough knowledge we can manipulate them at the most fundamental level. We don’t have anywhere near that knowledge, and I think our rate of knowledge acquisition is slowing down. I also think the larger challenge would be developing a society that could cope with immortality. (Most of our societal constructs are based upon the fact that you’re born, you get old, you die.)
One large question that hasn’t really been suitably addressed (or really addressed at all that I know of) is what happens to the human cognitive process as you accumulate more and more experiences to categorize and store. The brain is currently tremendously underutilized, so there’s untapped potential there, but is it something that can be tapped given time alone, does it take biology as well? Can we adjust to trying to remember 200+ year’s worth of experience when our braims would be seemed to formulate on a 60ish year timespan?
Similarly, I think if the human body was over-engineered for longevity, there would be a cost factor (perhaps the body wouldn’t be as efficient - it would demand more energy per day or whatever).
Why? On what are you basing this assumption? So far as we know at the moment, aging seems to be an accumulation of informational errors, nothing more. This gene gets transcribed slightly wrong and propagates itself. The net effect of that is minimal, but as this happens as a random process 100s of times, eventually you start generating damage. Cells don’t refresh in your organs as well, so they start to break down. When that happens it’s harder to extract nutrients, so getting them to other systems is difficult. Etc… etc… It’s like an exponential decay curve with an innate decay time, and if you halve that decay time you extend the length of the curve a lot.
Socrates was, AFAIK, in good physical and mental health when he was forced to take the hemlock at age 70 or so. St. Augustine lived to age 75 or 76 in the 5th century A.D. As distinguished citizens of what were, in their eras, the elite societies, they were aging about as well as could be expected. In the centuries since, medicine is much better, and our chance of dying of disease along the way (i.e. before age 60 or so), is much reduced, but the upper end of the lifespan hasn’t moved too much past those folks.
You don’t consider 115 much past those folks? My great grandmother is 102. That’s a 33% increase. Unless you want to claim that Socrates or St. Augustine were representative of the norm, this makes no sense. They were outliers, yes? The bar for outliers has shifted way higher in the intervening millenia. And a disproportionate amount of that shift has been in the last century or two of the last millenia.