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One of the interesting things is that if everyone of us did manage to travel almost at the speed of light then time stops and you can be in universe wherever you want in matter of your seconds. In other words, whole universe just becomes giant wormhole and you teleport from wherever to wherever in matter of seconds at whim. If you reach to the edge of time dimension, the space dimension basically seize the exist.

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I'm not sure that's right since things are light-years away it means you also need to travel just as long (or is this just as far as outside obeservers are concerned?). But even so, the universe around you would still get older while you travel like that so in a few trips you will reach the heat death of the universe.

That is just for outside observers. With time and space dilation, things do become instantaneous at light speed. It is actually kind of fun to think about that in the frame of reference of a photon which ‘is’ constantly coming in and out of existence as it interacts with charged mass.

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