Hello! Quantum teleportation has already been demonstrated several times in many experiments! The state of a photon (for example its polarisation) has been teleported to a distant one. The distance of the two photons can be as much as 100km. Teleportation has been demonstrated also with matter objects for example the magnetic field of a gas or of an electron has been teleported a few meters. This is exactly the kind of stuff I do research on! So if you wish to know more, please ask more questions!
Now obviously one can think about Star Trek teleportation of humans. Then I agree with you that this would be very difficult. First we would need to “read” the information on how a person is formed, the state of all atoms constituting them. Then we should teleport this information and finally take a bunch of unshaped atoms and “write” the information teleported. I don’t think this is possible at the moment, but perhaps we could start with something like a molecule!