teltransportation is impossible

When we first started talking about the teletransporter, i thought that it definitely would be possible for someone to be transported to another planet, after being dissentegrated, and still be the same person. But after thinking about it a little longer i think that it would be impossible for someone using this teletransporter to be the same person on another planet. If the person using the teletransporter presses the button, but is dissentegrated only after the new body is made on the other planet it would be impossible for the "real" person to be embodied in the "new" body because then the person would have to be at 2 places at the same time. This is exactly the same thing that happens in the teletransporter example except only that the dissentegration is delayed. So therefore tele-transportation must be impossible. (except in Jumper , Willy Wonka, Star Trek, Heroes, and Back to the Future, )