Time travel scenarios are both wildly popular and physically or metaphysically impossible. Usually, though, this is in a secular context of what's naturally possible. But could divine agency make time travel feasible?
I don't think so. I think that's a pseudotask.
However, let's vary the question: Could God make something like time travel possible? A scenario that might be indistinguishable to the participants?
On that scenario, it's not about traveling back in time or changing the past, but making the present resemble the past. Take the present rather than the past as the starting-point. Miraculously antique the setting to make the present physically indistinguishable from the past. Give present-day participants anterograde amnesia, so that their memories regress to, say, a day in high school. Age them down. Miraculously restore their youth.
Reset the chess board to an early state of play in the same game. Then take it from there. That's the stage at which the new outcome diverges from the first time around.
It's really not a different future. But for all intents and purposes, it's functionally equivalent to a different future. It's as if they traveled back in time to high school, then took a different fork in the road. The psychological and phenomenological effects are indiscernibly akin to time travel.