Hey there!
According to Einstein, going forward in time faster than the usual rate is impossible. Actually, though, he also says, the slower u move, the faster forward u go in time relative to you. A bit like, if u slow down, but don't notice, things around u will happen faster, or appear to do so from ur point of view. Creating a time machine to go into the future would mean u needed to hold people in stasis, then wake them up later, which is sort of cheating. This happens around black holes, where objects are held in such strong gravity, time ceases to move relatively for them. This is called time dilation.
But no, we can't technically travel forward in time. Think of it like this: if going faster than infinite speed (speed of light) makes us go back in time, then to go forward, we would need to achieve a speed below 0 (negative infinity to be precise).
Hope I've helped a bit, and one final thing: those neutrinos haven't been proven yet, so don't make a judgement based on them
:-)