It depends. What kind of passion vine is it? Pics?

The vine is very likely P. incarnata. The best time to transplant is spring before the shoots come up, but now will also work if you keep it watered well. Dig up a shoot with at least one 6 inch or longer root (more is better) and cut the vine back to a foot or two tall. Be sure and plant it in a place where you can keep it contained by mowing, or it will spread and try to take over your yard.