Is there a knife, that can be legally carried in both NJ and NY?

NYC seems to ban all folding knives, while allowing any fixed-blades under 4" long.

New York City does not ban all folding knives. To qualify as a gravity knife, the knife must open by gravity or by centrifugal force. The Village Voice published an article several years ago pointing out that nearly every folding pocket knife can be opened with enough force, but nearly every is not the same as every.

Regardless, the New York Times reports that the gravity knife statute was repealed because it was found to be unconstitutionally vague. This was just over a year ago. The Village Voice piece cited in the question is nearly five years out of date.