Randomeaninglessword said:
Not outside of the normal progression of time. Going any where in the past is impossible because the extra addition of atoms (e.g. your body and clothes) would expand the universe to the point in which it would collapse in upon itself. Travelling to the future, well, might be possible. In the same way things in orbit progress through time at a slightly different rate, it might be possible, but very unlikely aside from normal time progression.
Traveling to the future, or at least, at a slower rate than the "normal time progression", is not only "possible", but proven. Time dilation is a mature field of science, with plenty of theoretical and empirical support, notably from high speed and high precision atomic clocks.
More than that, your ideas on additional matter causing implosions are laughable at best. There is no reason why the additional matter submitted into any point in the time line would cause a collapse. A net gain would not occur; any matter or energy taken from one point on the time line would appear at another point. The basic conservation laws are invariant to time travel, and therefore, no ill effects would occur. This is known to occur due to research into hypothetical tachyons.