Can a previous employer answer the question Are they eligible for re-hire?

Yes, a previous employer can answer the question of whether a former employee is eligible for re-hire. This typically depends on the company's policies and the circumstances of the employee's departure. If the employee left on good terms and fulfilled their job responsibilities, they are more likely to be deemed eligible. However, if there were performance issues or misconduct, the employer may indicate that the individual is not eligible for re-hire.