They've been able to teleport atoms for some years now.
I do believe they tried doing it to an apple at one point, but nothing happened.
Been a few years since I've read up on this stuff.
Living cell desequencers and resequencers are still in the hypothetical stage, and will be at least 100 years before they get to anything close to resembling a beginner transporter like ST has.
You would have to have super-hyper-intelligent AI computers to be able to deconstruct a living thing at the atomic level, time suspend it, transport it through barriers and space/air without it getting contaminated or loosing coherency during transport, then flag the receiving resequencer and have it check for contamination and any degrading that may have occurred, and use some form of bio-genetic substances to replace any contaminants or degraded atoms/dna, and using a trillion layered security algorithm to use the pattern medical scripts to reconstruct the atoms/dna sequences to form the thing that was transported.
Unless there's a new pc tech genius that creates something to make Gates' work look like something from the stone age, then it will be another 500-1000 years before actual working transporters are developed and in use.