Can a toilet be moved 6 inch to the right?
If you strip down the floor, it is an easy job to extend the 4 inch PVC to the new closet flange.  You have to have a new closet flange anyway, so a coupling, 6 inches of pipe, a new elbow and you're in business. 

Re-plumb it and avoid a lot of grief in your life, like leaks coming down through the ceiling. The Micky Mouse adapter in the last answer is completely unacceptable for toilet waste.