HELL, NO !
No they have civil servantr protectiions on top of Sate, Federal and county laws.
“The process of collective bargaining, as usually understood, cannot be transplanted into the public service,” President Franklin D. Roosevelt wrote in 1937 to the head of the National Federation of Federal Employees. In the private sector, organized employees and the employer meet across the bargaining table as (theoretical) equals.
But in the public sector, said FDR, “the employer is the whole people, who speak by means of laws enacted by their representatives in Congress.” Allowing public-employee unions to engage in collective bargaining would mean opening the door to the manipulation of government policy by a privileged private interest.