Could some meteorites be starship debris?
Yes. After John Harrison 'detonated' Starfleet, the pieces were sent back in time through a subspace rift kind of like the Enterprise C.
The detonated pieces of Starfleet are pissed at JJ Abrams for screwing up their timeline and are attempting to take him out in order to exact revenge.
However, their attack plan was flawed because they were mistaken in believing that everything in the Trek universe was inwented in Russia, and as such, they directed their attack on Russia assuming that JJ was there. Stupid debris...