Sure time travel is possible, its all a mathematics/physics game…im sure it will take many many many (100’s) of years before anyone is able to even come close to doing it.
You can though, go back in time, so to say, well more like you can watch what happened in the past while here in the present….if scientists could build a telescope big enough and powerful enough, and be able to travel close to light speed if not light speed (I predict someday it will be possible to travel light speed just as long as there is some special pressurized …and a bunch of other technical mumbo jumbo….cabin that would keep you from exploding ….anyway if we could travel that fast and traveled to a planet or star X-amount of light years away from earth…using the powerful telescope…and looking at earth threw it, you’d (in theory) be able to see the past, like the birth of Jesus, since the star is so many light years away , present day earth on that star would be many many many years back, they wont see present time on Earth (for example 2002 if it was possible to do this now) for a long long time.