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Even if it COULD happen, which Einstein was pretty sure it couldn't....
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Einstein actually proved a way of time alteration. It isn't time
travel per se, what it is is slowing the aging process. You get 2 25 year old twins, and shoot one off into outer space at 98% the speed of light. They let 5 years pass on the ship's onboard clock, then turn round and shoot back to earth. The twin who lands is 35 (5 years away, 5 years back0 but the one who stayed on earth is now 70. This is because the faster you travel, the slower time lasts.
This also means if time travel ever were invented, in reality you could only ever go forwards, not backwards, as you cannot go at a - speed. But if we take the TV version of back or forwards in time, I say it could only happen if you could just observe,and not really interact or change things. As if you changed something then you might not ever have existed or been in the right set of circumstances to be there to go back to change it so a parado happens and reality explodes. also a theory states that if time travel is ever invented and you can go backward and forwards in time, then time travel has been a will be invented at every point in history as if you go back to before it was invented, for you to be able to go back and for the machine to exist it must have been invented so by travelling back in time you invent the machine and thus time travel is invented at every possibly point in the history of the universe. God I love these kind of discussions. Theories, space, time travel and paradoxes fascinate me and always have.
And I'm sure I've posted some of that, especially the Einstein bit, before.
EDIT:
Also, the thing about altering history interests me. It technically is impossible to alter history as we will have lived through history already and if you go back to alter it, you actually just set it on the normal course as your future self will already have altered it to create the timeline you know. If this is the case, the only time you could alter the timeline is if you either
a) You don't 'alter'/continue the timeline when you're meant to
b) You alter it incorrectly
Basically, history is ever flowing and ever adapting, so altering it does not alter it, it just makes it continue as it will do because it has already continued like that and is contiuing like that already. Like Bullet said. But then you're getting into the realms of multiple realities/multiple timelines, which is just as intriguing yet far more complicated.