How does relativity proves that time travel can be possible

Relativity proves that time travel is a possibility. When an object travels at a speed which is comparable to the speed of light than the time of the that object as in the time witnessed by that object will be pretty slower than one observed by the object at rest or at very less speed. This is called as time dilation. Now, when the object moves at a speed greater than or equal to the speed of light then the object can travel anywhere in the spcae-time realm.