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Sure, he could be wrong - from a certain point of view. Our physical theories of today are approximate anyway. Newton's theories were approximate. They worked perfectly for nearly everything anyone observed for hundreds of years. Einstein's equations though better aren't perfect either. They don't work perfectly well with quantum mechanics. Even the correction to the theoretical prediction for the perihelion of mercury is still not perfect and that was one of the crowning achievements of Einstein's theories.
However in regards to the initial statement that "the theory is that if you could travel at faster than the speed of light, you could travel through time", I don't think can be attributed to Einstein nor to his equations.
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