I'd love to be wrong, but the problem is that there is just too much information in a single (large-ish) atom, let alone a human being, for teleportation as seen in Star Trek to be even remotely feasible. For all our progress and wonderful ability at understanding the Universe we live in, it's worth remembering that physicists can't quite tell you yet how the Helium atom works properly -- let alone the billions and billions of Carbon/ Oxygen etc. atoms that make up the human body.
The only problems in Physics that are exactly solvable are those with two pieces of point-like matter. After that, everything is only ever an approximation. Increasingly accurate as time goes on, but an approximation all the same. I don't think that anyone would be all that interested in "approximately" getting teleported a few feet and losing half of my innards in the process. Sadly, some things are only ever fictional.
Still, in a way it doesn't matter too much. At least some of the reason I became interested in Science was through Star Trek. It may have been wrong, but it's been inspirational to many.