I think likely not. I find the idea of time as an actual existing dimension (the notion that time exists simultaneously allowing travel between times) highly suspect. It seems more plausible to propose that this sort of "time" is a useful abstraction with no real empirical existence. We can never observe the past or future and can only make statements about either by making assumptions about causality. The thing is, if you have a concept of causality, you don't really NEED any sort of "time" dimension with different times existing simultaneously to make sense of the world.
Rockchimp69 said:
Personally I think that as time has been observed to warp or "dialate" in situations such as fast moving atomic clocks in orbit showing different times to those on earth, it may also be able to be affected in other ways, e.g. Bending it or folding it to send a body to a different time.
This is a somewhat mistaken view of time dilation. Time moves at different speeds in different inertial frames of reference, but it's not as though anything ever goes BACK in time or as though the two frames fail to exist simultaneously (it's very hard to define what I mean here by simultaneously, but, if I'm not mistaken, a frame of reference encompassing the other two should suffice). Dilation is to do with the "speed" of time, not the "position" in time.
Perhaps an example would help. If you were to board a spaceship that had launched in the past and had traveled at high speeds for an extended period of time, you would be in the "past" with respect to calendars. But once you got on the ship, you would be in the present because those moments with you aboard never happened before, despite time-keeping devices suggesting otherwise. It's not as though you got on the ship sometime in your past without realizing it, you just got on a ship that experienced slower time for a while.
Saying that dilation suggests time travel to be possible is like saying that brakes slow you down, so really good brakes might allow you to slow down so much that you go backwards.