Can you be myopic in one eye and hyperopic in the other?

Yes. While unlikely, it is possible to have some degree of nearsightedness (myopia) in one eye while having some farsightedness (hyperopia) in the other. The myopic eye could have a cataract, causing nearsightedness, or the farsighted eye may be smaller from birth, causing the hyperopia. There are other possible causes, but there is certainly a possibility.