No, because the Institute of Medicine has ruled birth control must be a free service and the EEOC ruled in 2000 that it was a civil right that insurance companies must cover.  Employers have no right to deny the free service.  None. Zilch.  Nor should they. You are seeking employer power over workers.  That is a non-starter.  Indeed, the workers should elect their leaders and even then, they cannot violate the conscious rights of the employee, which are superior.