It’s not all that different to a fax machine, the way it’s described in st.
You just need to be able to accurately scan and place atoms to achieve the ‘teleportation’ being discussed here.
Thinking about it even that is probably not possible, as you’d need to know both the position and momentum and state of every sub atomic particle in the body.
I also figured that they meant entangled with some system that can mark change, but change is only possible with a concept of time. So I still don’t follow.