You'd need to physically catch up to yourself (your parents, in the case) which is impossible given they are traveling at the speed of light, in chase of the other end of the wormhole. At least that's what I could gather.
Why not send the wormhole on a circular journey? Accelerate out, decelerate, accelerate back, decelerate. Enjoy two relativistic trips, and end up parked side-by-side.
This is the mechanism Stephen Baxter used in his Xeelee sequence novels.
