Time is a 4th dimension, and it's possible to modify (aka travel) 3D objects, so perhaps it's possible to do it with the 4th? It is said that travelling at light speed could bring you foward or backward in time, but it's not yet known.
Another explaination is that if you could have mirrors (and lenses to zoom in or a powerful telescope to look in the mirrors) going all around earth pointing at you, you would see yourself in the future. But that I doubt it, since it would still be like looking at yourself in a mirror, but because it would take longer since it's far, perhaps you'd see yourself in the past, but this is not any different then recording yourself then playing the tape, so it's not really time travel.
But I just think this could be a good non-contreveral discussion since there's so much to consider about whether or not it's possible.

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