Could different views of the universe simply be different points in time? I'm not sure if this is the correct stackexchange site for this question.

I've been reading this article on Vice Motherboard There’s Growing Evidence That the Universe Is Connected by Giant Structures which while admittedly simplified for simpler folk like me put me wondering:

Is it at all possible that when we look out in to the distant universe in one direction, we are seeing the same galaxies and stars at a different point in time than if we look out in another direction? Could this occur if the distant body is moving laterally at a fast enough velocity relative to our position, or if the shape of the universe itself loops around?

Or is this not a proper interpretation of current theories of cosmology?
Could this occur if the distant body is moving laterally at a fast enough velocity relative to our position


Nope. I mean if the universe is flat it doesnt matter how fast the object goes you cannot see it twice in the sky. 


  or if the shape of the universe itself loops around?


Yes. If the universe has a positive curvature. When we look at the sky, we can see the same object in two opposite directions. 

In our universe this is not possible since if the universe is positively curved then the radius of curvature is much larger then the size of the observable universe. So its highly unlikely that we will see the same object in two different positions in the sky.