We can already compress data and stream it. It's the breaking down of living tissue into data to be compressed and streamed and then decompressing it and putting it all back together in the right order that will be the "real" challenge.
I don't see it happening for another millennia or two. I think Warp Drive will be created long before teleportation becomes a reality. To even do that, we'll need to create a working antimatter reactor and a way to create and store the antimatter without ripping the fabric of the universe, and ourselves, apart in the process.