Before anyone feels they should be able to comment on whether doing something with space time, they should bear in mind that we don't really, as a species, know what time even is. We might be able to understand time, but might be able to account for it in our experiments, but what is time? Is it a dimension? Is it the result of "strings"? Is it the only way our brains can comprehend the existence of a 4th spatial dimension, by viewing one atomic slice at any moment?
I wouldn't rule out time travel, not yet, anyway. There's so much we don't understand that how time works. As with all models, there's going to mistakes made with this. You should always remeber, just over a century years ago, most scientists would have assumed Newtonian mechanics were the do-all-and-end-all of physics. (and, unfortunately, a lot of people still do =\ )