It would be fascinating to travel through time but I don't think it will ever be possible. Consider how limited we are, as humans, when it comes to 3-dimensional spatial travel. Even if we were able to move at the speed of light, it would take many thousands of years just to transport a manmade object outside our own galazy (which also happens to be a drop in the ocean compared to the universe as a whole). And even if we were to build a machine capable of carrying humans vast distances through space, nearing or exceeding the speed of light, would our fragile bodies be able to handle the ride? Would there be enough resources on our tiny planet, or our neighbouring planets, to power this machine?
If we can't master the technology and science required for intergalactic space travel, how can we hope to do something similar with time travel? Presumably, travelling through time would involve entering a hidden, inconceivable, dimension, and coming out intact on the other side. I think Stephen Hawking (or another renowned physicist) once said that even if we were capable of harnessing both the entrance and exit point of a wormhole and blowing them up so that a human could pass through, the huge amounts of radiation generated by such an undertaking would instantly destroy anyone who stepped inside.
I recently watched a documentary on TV about the speed of light that gave an interesting example of how time travel could work, in theory. Suppose you erect a train track around the circumference of the earth and then build a train that is capable of travelling at close to the speed of light. A passenger then climbs into the train, powers it up and shoots around the earth for seven days (in his time). When he disembarks from that train only seven days older, about 50 or 60 years will actually have elapsed in the world outside. Of course, our own limitations as humans combined with the laws of nature mean that the likelihood of being able to build such a machine are virtually nil.