Theres no laws that state that a convicted felon cant be a bartender. Its really at the diecression of the employer if he/shes agrees to take on a convicted felon.Employers do have to be informed though of any criminal records. I believe so.heres no laws that state that a convicted felon cant be a bartender. Its really at the diecression of the employer if he/shes agrees to take on a convicted felon.