In case a driver or owner has no driver’s license issued by the Department or no motor vehicle registered in his name in the Commonwealth, he shall not be allowed a driver’s license or motor vehicle registration until he has complied with this chapter to the same extent as would be necessary if he had held a driver’s license or a motor vehicle registration at the time of the accident in which he was involved or at the time of the commission of the offense resulting in a conviction as is mentioned in §§ 46.2-389 and 46.2-391.