Lets label your assumptions i) Time = Space, ii) I travel through time into space. Then by symmetry of equality we can deduce from i): Space = Time, which answers your question.
Theoretically, it is possible to travel through time: by travelling at a great speed. But the speed at which you would have to travel would be faster than the speed of light, and would therefore kill...
Sorry, I am only 13, so this may not be the best explanation According to string theory I, there are 10 dimensions of supersymettry, only 4 of which are open to us, 6 are intertwined in another...