The question is whether teleporting is theoretically possible?
Fundamentally it means going from one space-time co-ordinate to another without travelling the space-time co-ordinates that lie between the two points. There are theories such as a warp hole or a worm-hole which get you from one point to another without consuming any time or distance.
But what could be the logic behind these warp/worm holes? According to Einstein, it was travelling in the next higher dimension. For example, consider a 2-D universe. In this case a plane sheet of paper. A 2-D man, the stick figure is a criminal and is hence sent to prison. This can be done by merely, drawing a box around him thus enclosing him.
The prisoner wants to get out. Now suppose, a 3-D man picked him up and placed him on some other point on the paper-universe outside the box, the 2-D man is therefore free. Now, we 3-D creatures exactly know what happened here. But for the 2-D man, he was at one instant, caged inside a box and the next instant he was outside it! Teleporting! The 3-D travelling is not percieveable to the 2-D man because of his 2-D limitation.
Logically this process of lifting him up and placing him outside the box took a certain amount of time in our 3-D universe since the 2-D man travelled through it. But in the 2-D universe, it was instantaneous because he spent no time in travelling though that universe. The moment he left the 2-D universe and came into the 3-D universe, time in the 2-D universe ceased to flow for the 2-D man and in the next instant when he re-entered the 2-D universe, he found himself placed on some other space-time co-ordinate.
So, for us to teleport, all we need to do, is find a way to travel in the 4th dimension!