If a NY real estate agent performs an action that is unethical, they can be reported to the State and potentially lose their license. The same goes for an attorney and many other professional licenses.
So why not school administrators? They hold state licenses. See their certifications here in the NYS Certification Search
Complaints should not be arbitrarily filed. This isn’t about personality conflicts, but rather to complain about real moral character issues that negatively affect the school community and therefore the public. Append factual evidence to the form and email to email@example.com