As mist says, it will be difficult, if not impossible to enforce an NC equitable distribution covering NY property, when the STBX has never lived within NC. (The property distribution could be void for lack of personal jurisdiction over the STBX.)
If the STBX has themselves actual contacts with NC, it may change things, however, the contacts have to be made by the STBX.
And, if you somehow manage to serve the STBX (for the equitable distribution) while they are physically within NC, NC will have jurisdiction to divide all property. (If the defendant is physically within the jurisdiction of the forum state at time of service, then the forum state can probably get jurisdiction, regardless of how temporary that stay within the state may be.)
NC can also get jurisdiction if the STBX or their attorney file an answer improperly, which can cause objections to personal jurisdiction to be waived.
However, you have given no indication that the first is true, and the other two require both the STBX and their attorney to be asleep at the switch.
So, at the very minimum, you need to file for property distribution and spousal support (if any) in NY.