There are certainly some novel ways of looking at the possibilities of time travel. I don't pretend to understand such concepts as quantum entanglement and the like. I'm actually rather inclined to the concept that time is a mere artifact of motion, and this not to be understood as a dimension in which one can travel. But as you say, we are all "moving" through time.
I was having some fun with the old fictional notion of you get in a machine and you pop out in the same room at a different time, H.G. Wells style. Now a tardis ...