One possible way could be … 

I imagine a world from a imaginary point A and see a man standing at B. 

I again imagine the same world from another imaginary point B and see a man standing at A. 

and then repeat this process named “P1” infinitely. Over a period of time I will start seeing myself at point A from B and from point B at point A. 

If there is a way I can forget I am at point A when at B and forget I am B when I am at A and keep process P1 running. 

I will become 2 different individuals. 

Is such a situation possible?