I don’t think we’ll see time travel to the future as an aim, what would be the point if you can’t then go back in time.  I’ve no doubt though that if man as a species survives we’ll see it as a by-product of space exploration at sometime in the future.

Travel to the future would be no different in reality to putting someone into some form of suspended animation where the body didn’t age and then waking them up at sometime in the future.