As far as we know, it would be impossible for a Star Trek style transporter to teleport the atoms that make up your body. You can thank one of those pesky fundamental principles of physics that always seem to spoil the fun.
However, we do know a way to scan an atom, send the information about it elsewhere, and assemble an exact copy at the destination. In the future we might scale up this process to work with humans.
The catch? The teleporter would have to destroy the original version of you in the process.
Want to learn more about the current science of teleportation and how we might one day real teleportation? Read my article Achieving Star Trek: The Transporter.