Interesting thought process which brings up the question how you define teleporting and how you define a living being. If we include our consciousness into the process of teleporting or even our soul if you believe there is one that brings up the question what happens with those things as they are not known to be part of your body. So in my opinion if you disassemble yourself and put a perfect clone of yourself as a replacement we don't know if our consciousness or subconscio are traveling or getting replaced aswell. So if we were able to teleport our body I don't think we can teleport our mind aswell which leads to my conclusion that you change time/space by doing so. Leaving behind a body with no soul that teleported. Just my opinion on teleporting in general though