It cannot be possible.
If it was possible we'd already know because time travelers would be amongst us or there would be 800 billion people at the Sermon on the Mount.
Also, it violates pretty much every known law of physics.
Those cavaets out of the way, yeah why not?
Wait a minute; are you trying to tell me that Charlton Heston didn't travel forward to a time when Apes were the dominant species?
No Way, I'm simply not having it!