@xris,
Forward travel in time is possible, but time travel into the past impossible, it is, however, possible to go into the future. The twin paradox is when a spaceman travels at almost the speed of light to a distant star, he will age much slower than his twin brother on earth
The reason for this time moves slower on a massive object than a less massive object. As the spacecraft approached the speed of light it becomes more and more massive, exponentially at that.
Einstein said it is impossible to get up to the speed of light because the object would need all the energy in the universe to do it and time will stand still,It would rip the universe apart
Back to the twins the twin on the earth will age at the normal rate of an earthy being, the twin speeding deep into the cosmos will age much slower, when the spaceman returns, he might find his twin a very old person, or if he had gone far out into the universe at a huge speed he might come back to the earth when humans are long gone on a bleak dead dying ancient unrecognisable planet.