Is it possible to develop a lazy eye from being tired?

In a sense. "lazy eye" is an eye which drifts from straight ahead usually due to visual problems from infancy and childhood. Some adults have compensated for this in the sense that they hold the eyes in a good position while alert. Those that do this can find that the eye which is seeing less well might drift if they get tired. As long as this is controlled most of the time, it can be ignored.