Actually, there is one form of time travel that is possible. According to General Relativity, if your speed is at near the speed of light, you would age much more slowly. Therefore, you would be sort of be traveling into the future. I think Kip Thorne has suggested that in order to travel into the past, you would have to build a wormhole with one end at a spacecraft and have that speed up to near light speeds. With this method you could at least travel decades into the past, but unfortunently you would not be able to travel back into the Middle Ages or something.