We all travel in time, into the future, one second per second.
Time travel into the past, for any material object, so far, per Einstein's relativity (not Newton's as
mzeewaloliondo posited) and the Standard Model of Particle Physics, is impossible.
I wrote this on my Geocities website in 1999 (middle finger to Yahoo! for taking Geocities down).It remains so.
The reason being, to travel back in time, essentially, is to travel faster than the speed of light. Time is just the fourth dimension of the space-time continuum.
The speed of light is the known speed barrier for material object in the universe.
By Einstein's Relativity, the reigning theory on the subject, for any material object, however small, the more you approach the speed of light, the more two things happen.
Time is dilated, space is distorted. The object becomes bigger and bigger, and heavier and heavier. Time, from the perspective of the object, starts to move slower and slower.
In essence, if a material object were to reach the speed of light, it would turn into a singularity, with infinite mass.
How are you going to move an infinite mass even at the slowest speed, let alone at the speed of light?
Therefore, by our currently known technology, time travel by a material object into the past is not possible.
Of course you have science fiction authors anticipating the tachyon, which could only move at a speed greater than that of light, essentially isolated in another universe.
Or the occasional Einstein-busters, like the
Italian experiment that prematurely reported a faster than light particle velocity, which was later debunked. But that's all, science fiction and premature ejaculations.
Luckily we have our minds to reminisce, and can travel into the future one second per second from the observers perspective.