Given that it's apparently common practice for NYPD officers to flick common pocket knives until they open up without using the thumbstud and arrest the owner for possession of a "gravity knife," but without consulting the relevant statutes, I'm going to go out on a limb and say no.
Oddly enough, per one of the articles I read, it's apparently legal for me to carry a Clinch Pick in NYC so long as I don't have criminal intent, and if my stated reason is self-defense, that doesn't count as criminal intent per some court decision.