If time travel to the past was possible, we'd've met future time-travellers by now. It also involves obvious anomalies, such as killing your parents, and preventing your own birth. It would also mean that the atoms which compose your body would exist twice over, which may also be anomalous.
I have also read that if travel to the past were possible, one could alter the past, but only if one already has done. For example, a time-traveller could not prevent the assassination of President Kennedy, but could prevent the assassination of Pope John-Paul II, because his would-be assassin missed, and only wounded him - maybe because a time-traveller managed to jog his elbow.