From my EXTREMELY limited understanding of quantum physics, which is to say I know only a few sentences from various sci-fi movies ;-), this is theoretically possible. Weird, but possible. A really spooky phenomenon at the quantum level is entanglement. I’m doing it an injustice by oversimplifying and saying its when two electrons become related, or “entangled” with each other, and somehow know across the vast voids of space (and thus theoretically time) about each other. Something like change the spin on one and watch the other’s spin change, etc. In tests, no matter how far apart they are in space, it happens simultaneously. So, send two entangled electrons down different paths, one slower than the other. Measure a particular quality on the faster electron when its journey is done, and change it on the slower one when its journey is done. The measurement on the faster one should indicate the change made on the slower one in the future. (Of course, if the guy at the end of the slow path decides not to change the quality after the change has already been detected, thus changing the past, do we create a paradox?)
Makes my head hurt. But in a good way 