I don't know enough to answer that. It was just some philosophical musing recently that went too far and started making some sense. To weird people like me, at least. I'll post about it tomorrow, I guess, as I do not have enough time.
The way I see it, all you would have to do is travel back to a point before you came and saved your family, and then move forward again. After all, would you not be going back to a point before the universe branched off in two? I don't think you would run into yourself going forward in time to...