For example while dogs have a much shorter lifespan than humans they seem to face all the same age-related declines humans face. This holds for animals close to or exceeding our mass as well. If different parts of the body wore out simply due to e.g. mechanical stress, you would expect e.g. dog joints to be perfectly healthy after 15 years since they are biologically very similar to human joints, when in fact dogs tend to still have arthritic and otherwise fragile joints at 15 (or earlier).
Everything declining together, just on different timetables in different animals, seems to suggest that aging is controlled by either a single mechanism or some interwoven set of mechanisms that cause everything to fail at the same time, rather than individual parts failing because "they wear out." If you could target that mechanism(s) then maybe you can make humans live as long as e.g. tortoises. But of course we haven't confirmed that such things exist, but the above is at least some motivation for why they might exist.
Without a coherent theory of senescence this is all conjecture, but there's compelling evidence that there's some set of hidden variables we aren't seeing that is "pulling the strings" when it comes to aging.
Let's just think logically about it for a bit. Your cells come with all kinds of repair machinery and redundant DNA encoding. All cells do. But there are single-celled creatures that don't age and reproduce by cell division, and they haven't lost their function despite billions of years and millions of generations. Same for humans and whoever else reproduces sexually — there's A LOT that needs to go just right for a new human to be born, including making billions of copies of parents' DNA, yet it does work just fine most of the time. This tells us that the DNA copying process must be very robust, and that with age, it's these mechanisms that keep everything in check that deliberately get weaker or stop working altogether.
Recent research proves it.
For example, there's evidence that organisms propagate their age throughout all tissues using some kind of signaling in the bloodstream: https://www.nature.com/articles/ncomms13363
Even more bizarre, the aging clock, as determined by DNA methylation, gets reset to zero at the beginning of embryonal development: https://hplus.club/blog/how-and-when-mother-nature-resets-th...
There are definitely a number of processes involved in aging that are pre-programmed as you suggest, namely the hormonal clocks involved in puberty and maturation, and then later senescence.
It's not particularly useful to compare humans/mammals to single-celled organisms, which operate under way fewer constraints. They don't have to deal with cancer, as just one very basic example. They also don't have to figure out how to clear old junk from their tissues and individual cells. They just start over with a clean slate every time.
Signals in the bloodstream - various hormones and immune cells - are obviously involved in aging. But there are many of them, and we are just starting to understand their different interactions. There is no doubt that aging research is going to yield ways to suppress or promote the action of certain hormones, replenish/reactivate certain stem cell populations, etc. but better understanding of intercellular regulatory networks is needed for that.
To call DNA methylation the determinant of an "aging clock" is also too narrow or simplistic. DNA methylation is the mechanism of cell differentiation, but it's "metadata" that has to be copied over between cells when they divide, just like the DNA itself. Early in embryogenesis, the DNA methylation pattern is reset and overwritten using the regulatory cascade of master control genes (homeobox, etc.) - so it is expected that the methylation pattern will have lower fidelity with each division cycle before or after that point.
This is the golden age of biology - we have just gotten a hold of the tools that will let us solve these problems - but it's messy and complicated. Investing in your understanding of these processes can have a huge payoff - I recommend reading some of the Nature Reviews articles like https://www.nature.com/nrg/ - I've always found them to be incredibly helpful in summarizing the state of the art.
While that makes it really unlikely that aging can be reversed, it certainly isn’t logically impossible. All you need to do is expell the chaos, and get one good quality regeneration (possibly taking about 7 years) and then you’d be right back to 18 years old again. That might make it worthwhile enough to be willing to have your body burned by a billion laser shots and float in a vat of liquid for 7 years. We might get to find out in our lifetimes? who knows.