No that wouldn’t work. I have read that the gamergate when alive will cut off reproductive gland for the workers that emerge so they will not become fertile. Once the gamergate dies however that process is stopped and future workers can become gamergates after mating with males
The gemmae and their removal in non-gamergate workers is exclusive to Diacamma. All other species with gamergates don't have any physical difference limiting a workers ability to become a gamergate, though they often are regulated through other means like pheromones from the current queen(s) or gamergate(s).
To answer the original question, no. Even if the worker were mated, they wouldn't be able to found a new colony on their own like a queen could. Species that only have gamergates reproduce via colony fission, when a chunk of the colony splits off and takes a gamergate with them.