Can acupuncture help with non-physical problems?

Yes.  Acupuncture views the body, mind, and spirit as a whole.  Physical disorders can cause an imbalance in the mental outlook and spirit of a person.  This may manifest itself as depression, anxiety, anger, sadness, or fear.  Mental disturbances, stress, and emotional conflict can cause effects in the body such as insomnia, lack of appetite, fatigue, menstrual disorders, migraines, and susceptibility to disease. 

All acupuncture treatments aim to restore the harmony of mind, body, and spirit.  Thus, the physical and non-physical sides of a patient are treated together.