Can myopia in one eye cause a slight sleepy eye, like a misalignment of one eye compared to the other? if yes, can glasses, and so on fix it?

Relative fixes: A 20 year old is beyond the age of visual system plasticity, generally ending around 8 years old. Glasses may help your "sleepy eye" or "lazy eye" better known as amblyopia, visualize better. Optimal vision in the amblyopic eye will help it fuse with the better-seeing eye, reducing drift in (crossed-eyes) or out (wall-eye). Glasses will protect your eyes from injury, so choose safety glasses.