Absolutly not. That movie belongs to an entirely different IP. There is no rhyme or reason for it to be in the "prime" IP, which is what we are in, which includes all alternate time lines and universes under said IP.
However, don't get me wrong I enjoyed the new Trek for what it is, I just don't need worlds colliding. This IP has a life of it's own, and should progress on it's own.
i don't know, star trek does have a few instances of alternate realities crossing over before (the mirror universe being the prime example)
the only thing in the way is what i said before... along with the inevitable outcry of those who don't want it, for one reason or the other