New York State Education Law Section 2568

Superintendent of schools authorized to require medical examination of certain employees of certain boards of education. The superintendent of schools of a city having a population of one million or more shall be empowered to require any person employed by the board of education of such city to submit to a medical examination by a physician or school medical inspector of the board, in order to determine the mental or physical capacity of such person to perform his duties, whenever it has been recommended in a report in writing that such examination should be made. Such report to the superintendent may be made only by a person under whose supervision or direction the person recommended for such medical examination is employed. The person required to submit to such medical examination shall be entitled to be accompanied by a physician or other person of his own choice. The findings upon such examination shall be reported to the superintendent of schools and may be referred to and considered for the evaluation of service of the person examined or for disability retirement.

Comments :
1) How many school districts in NY state are there with a population of one million or more ?
Evidently, the law was tailored to NYC. The admission is clear : working in such district is likely to be hazardous to your health.
2) The abuse of this law by unscrupulous supervisors-- with the complicity of the DOE's Medical Office -- calls for a restrictive amendment to protect employees, especially teachers who bear the brunt of the abuse.
A couple of years ago the Medical Office had a website where it could be read : 1) The principal or other responsible supervisor under whose supervision or direction the individual is employed must submit a written report ; 2) The report must contain detailed objective reasons on observation, not on hearsay...
The site is no more. As for "objective reasons", let me laugh : take a look at the examples posted here.