The city does not administer its own licensure requirements. However, as MiketheEngineer has noted, we have our own building code, which is essentially the UBC with local modifications. The DoB also has requirements for plans that may deviate from standard practice elsewhere. Finally, an additional complication is that some state-owned projects have to adhere to the state code instead.
You may find the City building code online at the local codes section of the IBC site. DoB requirements are posted on their own website. Good luck!
Structural Design Engineer
New York, NY