Possible to Straighten Teeth Without Increasing Overjet?

I have quite a bad overjet, with my lower jaw too far back as well as crooked teeth due to crowding. In cases like this, is it ever possible to straighten the teeth without changing the size of the overjet at all. Unfortunately, I don't think that I'll ever be able to afford (or be willing to spend so much money on) orthognathic surgery but would like straighter teeth without affecting my overjet.