We are all traveling in time, so apparently, it is not only possible, but no way to avoid it.
then there were the two syncronized clocks--one remained on Earth and the other traveled in a plane. Time passed differently, so in a way, TT is possible. You head out into space for a year, at near the speed on light or there abouts. When you return, the iPad 12 is out and your ex-wives are long gone.
Apparently, if you visit the Great Pyramid in Egypt and you stand right up against the structutre, time passes differently for you than those passing by. So Go to Egypt and fiddle with time.