How come, in our lifetime, we will see the first stars which ever formed? Isn't it an unlikely coincidence that we live in such special times, that we will have observatories (JWST) that see all the way back to the first starlight in the universe? Are we dreaming, and is it possible that we will be surprised and keep finding evolved galaxies more than 13.8 billion years old?
We will not find Galaxies that have existed before the big bang.
There's a principle in Astronomy that states: The further you look, the earlier you look. That means that the more distance the light had to travel to reach our telescopes, the more time it needed to reach us, because the speed of light is not infinite. Therefore seeing the first galaxies of the universe isn't some lucky coincidence, we are just looking the right distance away (13 billion light years). If we had lived earlier we could still see these galaxies, but they would be closer to us. And the same goes vice versa; If we had lived at an earlier time, we would still see said galaxies, but much farther away. I hope this helps.