Sure, if you find that people can telekinetically influence the future, a similar experimental protocol is likely to produce equally good results for telekinetically influencing the past. Of which I am less tempted to say, "How amazing! The power of the mind is not bound by time or causality!" and more inclined to say, "Bad statistics are time-symmetrical."
That doesn't actually strike me as all that much extra improbability. A whole bunch of the mechanisms would allow both!
http://www.nature.com/news/2011/110922/full/news.2011.554.html
http://arxiv.org/abs/1109.4897v1
http://usersguidetotheuniverse.com/?p=2169
http://news.ycombinator.com/item?id=3027056
Perhaps the end of the era of the light cone and beginning of the era of the neutrino cone? I'd be curious to see your probability estimates for whether this theory pans out. Or other crackpot hypotheses to explain the results.