Not quite, time actually slows down, not just one's perception of it. It's part of special relativity, and a fun little formula: t'=(1-v^2/c^2)t. Now, speeds greater than the speed of light are possible, if a particleultimateownage said:Well the faster you go the slower YOUR perception of time is, so time would seemingly stand still at the speed of light. Past that, it could be plausible that you would go backwards. But it's only your perception of time, you aren't actually going back in time. Plus, it would be practically impossible to go past the speed of light.
1) has imaginary mass
2) is incapable of interacting with anything
For example, Tachyons can technically travel backward in time, assuming they exist.