Anything traveling at the speed of light does not age.
So the light we see from distant galaxies is say 5 billion years old to us, but it has not aged since the photon was emitted during fusion in the sun it originated in.
We can never travel at the speed of light, it's not possible.
It's complicated and there are many relativistic issues, but generally the faster you go the more massive you become, requiring more energy go get that extra speed, making you more massive, requiring more energy...
The point is as you approach the speed of light, it's impossible to have enough energy to overcome your mass.
The universe is said to be almost 14 billion light years old, because of detecting galaxies/mass from almost 14 billion light years away. That would mean when the universe originated, the mass was about instantly moved, meaning it had to be at speed of light or I've seen claimed faster. Then I've seen it explained about expansion, and the movement was as if everything was on a balloon, and the balloon (space) only expanded and what was on it, with it. But if that's only the case, then how do you get colliding galaxies and such? If you put a bunch of dots on a balloon and blow it up, they never touch each other, just move further away equally. So did mass at origin of universe move speed of light or faster? If so then it's not impossible, we just haven't figured it out yet.