[dvdkhlng]

Maybe in an Orthogonal Universe [1,2], but not in ours :)

The way you state it, traveler's time would speed up (as the resting frame's time of journey would be decreased).

[1] http://www.gregegan.net/ORTHOGONAL/00/PM.html

[2] http://www.gregegan.net/ORTHOGONAL/02/Motion.html#LR

[baldfat]

If I jump on a ship and travel near light speed (Not possible yet) and then land on the same spot I would not have spent the same time as those on the earth.

Now at a tiny level anyone ever on an airplane also will have spent less time than those who never have flown.