<< Einstienian time travel is possible.
Science Fiction time travel is not.
Think about it, if backwards time travel were possible, there would be people from the future all over the place. >>
Maybe it's possible, but there are other reasons as to why we don't see these time travelers. I, for one, have always wondered why people like to think of time as having only one dimension (past --> future). Many SF authors postulate time as having two or more dimensions. If you're interested in this, Richard C. Meredith's "Vestiges of Time" trilogy should be required reading, as it handles the subject better than anything else I've come across.
Imagine history not as a continuous flow from past to future, but as a jagged line, with each peak and valley comprised of "crux events" where history could have diverged in two or more ways (i.e. "what if the US had lost the American Revolution", or "what if Hitler had won WWII"). Say a major historical event with multiple possible outcomes can fracture time; the single timeline hits a point of departure and new timelines are born. Now imagine being able to travel from one to the other.
So what could this have to do with us not seeing all those visitors from the future? Perhaps the action of traveling back in time creates an event splitting the timeline, meaning that every time this happens, a new timeline is spun off and we no longer see the events therein. I realize that my logic is flawed, but it's a very interesting idea.