No, acne is caused by a combination of skin cells sticking together clogging pores, excess oil production, overgrowth of skin bacteria and inflammation. Washing your face with a gentle cleanser or medicated/active ingredient cleanser twice daily however, is an essential part of your acne treatment.
Also, you may benefit from a cleansing pad or wipe before and after a workout to clear skin of dead skin cells, oil and dirt before sweating and/or wearing gear that occludes the skin