I work for the Dept of education and they want to move my work location from Brooklyn to Staten Island. If I provide them with a letter from my psycho

Maybe. Your doctor needs to document precisely why the travel will adversely affect your health. Remember that by doing so your doctor could document that you are no longer able to perform the essential functions of your job. Technically disabled. Be careful. Better option is to accept the transfer and look for another job ASAP. I know that's tough. It's NYC. No one has time. But it's better to be employed while looking for work even though the City law says that unemployment cant be used against you in a job search. Good luck. Yours will be a tough one and hiring a lawyer for that is likely to cost a lot (not a contingent fee case since there does not appear to be money other than hopefully continued employment at the end) with no guarantees.