Now, SLOWING DOWN time has been proven, but not "time travelling into the past" per se.
If you moved near the speed of light and sound itself near an object, you'd actually move slower in time than without. Which does make sense, just like when something happens and you don't process it until a moment later?
But that's not time TRAVEL, that's just how speed, sound, and time connect.
So, I don't think time travel is even possible, even with all this AI technology, and everything.