I'm in no way knowledgable about these things (so please excuse me if this seems a bit on the simple side) but....
We know from giving watches to astronauts that the speed you are travelling affects time - the faster you are travelling in distances, the quicker you are also travelling through time.
So if, theoretically, we managed to travel very, very, very fast between the Earth and a distant point in the solar system or galaxy (maybe at the speed of light), you would in a way travel forward through time - maybe only a couple of days would have passed for you but several weeks or months will have passed back on Earth.
I know this isn't *technically* time travel and you still wouldn't be able to travel backwards in time but would travelling at near light speeds be easier than breaking the space-time continuum?