Transfer a program.

Hi guys. Im using CMM Zeiss Contura G2. Calypso. I have already done a program for a part with Jig A. But I'm planning to use a new jig for this part measurements. Let's call it Jig B. So is there any way to transfer all my measurements points from jig A to Jig B? All the dimensions would be the same. Just the position of the part would be different.

Would changing the alignment work?