If it was possible, and you believe as materialist believe that the concept of "you" are your "brain", then you would be 2 different halves of one person in 2 bodies.
Wether you are the left or right hemisphere and what parts of "You" are in each one, you would have to speak to Nueroscientists.
It has no bearing on Trinity, God is immaterial, and so is the soul, spirit etc..