Won't be possible to change the past. Maybe time travel to the future, though.
The reason why it will not be possible to change the past is because of one very good reason: The past affected who YOU were.
To use a very tired old example, let's say you want to kill Hitler (hey I'm with you on that one. Bastard deserved to die, if anyone ever does). But you won't. Because if you kill Hitler, you never grew up learning about who Hitler was or how bad a guy he was. So you'd never go back in time to kill him.
Changing the past will obliterate anyone's need to go back into the past to change it. Thus, no one will. Plus, with the tricky nature of time travel, you also might end up "not existing" as a result (for example, say you didn't kill hitler, so someone's grandmother didn't have to marry someone else after uncle joe got shot up on Omaha, because WW2 never happened, so your father's friend never got born, the one who introduced your mother to your father, and as a result, YOU were never born - you see how tricky this can be?)
Now, some have said that if you time travelled to the past, you would just travel to another universe which RESEMBLED the past, and so no paradoxes would arise because you wouldn't be really altering your past. But that would then just be pointless and I have difficulty believing that you could travel to another universe.
But even if time travel was possible, you couldn't change the past - because the past would just be the result of all the time travellers messing with it: in other words, the past we have now, is the end result of all that tinkering by millions of time travellers. So maybe WW2 happened BECAUSE of a time traveller, for example.