Is it or will it ever be possible to travel in time?

Some theories, most notably special and general relativity, suggest that suitable geometries of spacetime, or specific types of motion in space,
might allow time travel into the past and future if these geometries or motions are possible. In technical papers physicists generally avoid the
commonplace language of "moving" or "traveling" through time ('movement' normally refers only to a change in spatial position as the time
coordinate is varied), and instead discuss the possibility of closed timelike curves, which are worldlines that form closed loops in spacetime,
allowing objects to return to their own past. There are known to be solutions to the equations of general relativity that describe spacetimes which
contain closed timelike curves, but the physical plausibility of these solutions is uncertain.
Personally i don't believe that anyone or anything will be able to time travel the reason being that if it was possible wouldn't there be someone or
something that has traveled through time here with us today!?