Time travel is already possible. The faster you go to the speed of light, the more time slows down. Astrnauts who are traveling at 17,000mph in orbit, when they reach the ground will have had less time pass by and be "younger" than the rest of us, if only a fraction of a fraction of a second younger. This has been proven with the use of atomic clocks.
Time travel your talking about is exceeding that speed, but i'm not convinced this is technically exceeding the speed of light. This is bending/tunneling space to arrive at a spot in a shorter time.
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