I'd say time travel the way we see in movies is physically impossible, but the speed of time changes and distorts throughout the universe with gravity.
Going at the speed of light wouldn't freeze time at all. Light isn't instant at all. When you look at the night sky and see the stars, you're seeing the stars the way they were thousands to millions of years ago. If aliens from another solar system invented a telescope so powerful they could see earth up close, they'd see dinosaurs.
Time can distort though. Mathematically speaking a 'worm hole', a black hole and white hole together, if something entered one and exited the other, it would be observed to exit the white hole before entering the black hole, so you'd see two of them. The one which appears from the white hole couldn't interact with the one which is entering the black hole though, because there'd only be one set of particles making up this item.
...
Something like that.

"If only you could perceive time the way I do."
