A NJ LE agency wouldnt be able to charge someone with a "theft" in another state even if it were a theft. Even if it was a crime, no crime occurred in NJ! If a crime did happen charges would be local unless there was some kind of federal crime commited, then federal officers would be the ones to file charges.
I agree with Jerry that nothing will be done and even though im not fimiliar with the details behind this, im not so shure a crime took place.