I noticed thta in a lot of these comments, people say that you have to go at a very high speed (near or at light speed) to get far enough away fast enough to see into the past. And that's only a couple of days into the past.

Wouldn't it then be logical that our galaxy, to be able to see near the beginning of the universe in space-time, had to be traveling at way above light speed to get to where it is today? If no, then we shouldn't technically be able to see that far into the past.