Time travel is impossible because it is time that is travelling in anything and in every direction but nothing travels in time.
Well take a look at our GPS satellites their internal clock falls behind 7 nanoseconds per day, so in a sense we are time traveling from the perspective of the satellites not by much but we are.
So if one would go near a black hole and stay there for a few days from everyone else's perspective one would have time traveled from the past. From your perspective it would seem that the whole universe fast forwarded in to the future.