Crisping Chicken Without Skin
It depends on how you define crisp. 

You can definitely have a different texture on the outer side of a piece of chicken. In fact, you can't have the same texture as on the inside, unless you are making it sous vide. It will be browned, and drier than the inside. But you can't make it go "crack" when you chomp down on it. You can compare it to the outside of a good steak. So if you want the chicken to be crisp, you really need the skin. 

If you don't insist on the chicken itself being crisp, and just need the texture, you can bread the chicken with breadcrumbs, or froth it with batter. Breading is the usual option and works well with pieces shallow fried in a pan, such as chicken breasts or boneless backs. If you are making a whole chicken, you'll have to be creative, and frothing may work better. In any case, a breading or batter cover needs fat to be crisp, so if you are removing the skin for the calorie content, you don't gain anything.