Maybe just the universe is? If the fabric of space was expanding, then it'd affect the entirety of matter, not just distant galaxies. The moon would move away from Earth, the Earth would move away from the sun, your left foot would move away from your head. Except every ruler and distance measuring device would tell you nothing is happening. Because if it's an expansion of space, all possible measuring devices will expand with it.
There's theories (with some support) that expansion in the ever aging universe can increasingly outstrip the observational horizon. Light from the furthest galaxies that we can see will no longer (after corresponding time has passed for 'us' now and 'them', way back when) the space will have expanded so that the later light never does reach us. And then after more time (and we're talking
a lot of time, many billions of years, IIRC) even less distant light-sources will be spewing photons that will never reach us. This would not be noticed on more local levels (except by observant sky-watchers) in any real sense, due to the proportion of expansion being insignificant on microscopic, macroscopic or even galactic distances.
But wait long enough, and even the local group of galaxies will be 'beyond' the observable limit of the universe. And then parts of our galaxy, and then most of it, and eventually nearby stars, then all stars, then the limit will be within the limits of the (long-extinct by then anyway) solar system, and so on until the last remaining atoms are effectively 'ripped apart', having long since lost contact with any more siginificant amount of matter that might have been allowed clumping together as planets, moons, asteroids, space-craft, living beings and even molecules.
Just a theory, but based upon the expansion of the fabric of space.
It may or may not directly relate to the above, but as an example, the current observable universe is supposed to be a bit less than 50 billion[1] light years distant (although the light has been travelling only 13 or so billion years). Get an elastic band that long, anchor it at a point at the edge and wait another billion years and you'll get a slightly stretched band.
Very slightly. But add another billion light years (it'll probably be more) and your elastic band is only about 2% longer (ignoring other effects and assuming constancy of expansion). Every year it stretches 0.000000002% Mark out a metre length now, and in a year's time you'd have (unless I've gotten a power of ten or two wrong, in my head) 20 picometres extra distance. The diamater of a Helium atom is supposed to be 60 picometres. The Carbon-Carbon bond is 120-150 picometres, IIRC. So even if it was a monomolecular carbon thread instead of an elastic band, and all the expansion in any given metre were concentrated between one particular pair of atoms, it might not elicit a break. But as it's distributed between all the many bonds it certainly wouldn't. Even a millenia of stretching wouldn't break a -C-C-C-C-C- chain (or a =C=C=C=C=C= one, if you want it purer) otherwise protected monofibre.
And the Moon
is moving away from the Earth. But far quicker, and that mainly due to more mundane reasons regarding transfer of orbital and rotational energies between various bodies. And during puberty, your left foot (ignoring the transient effects of locomotion itself) is probably travelling faster away from your head than the Moon is the Earth. And while physical rulers would expand accordingly with the expansion the universe, signal-based ones (the time taken for light to travel) would reveal some expansion. (Actually, physical ones would, as well, by observation of the ends by an external observer, but that's complicated and really needs explaining.)
[1] Am assuming that's the US billion of 10^9, rather than the UK one of 10^12, in all my calculations.