I guess it depends on what you term as time traveling.
If you are referring to time travel based on 11 dimensional string theory, then I would have to say yes that it is POSSIBLE, not for a very long time and we'll probably learn to live on the surface of the sun long before that would be possible, but it is POSSIBLE. If the theory is sound anyways.
I dont know of any other scientific theory that would allow time travel. Everything else is science fiction in my belief.
Time travel to another person's future, yes. Time travel to your own future (ala Back to the Future), no.
There doesn't seem to be anything that indicates something can travel backwards in time. I can't even imagine how that would be physically possible unless it is some sort of "looking glass" immutable kind of time travel.