Can there be a way to treat moderate depression and anxiety without going on medication?

Yes: Psychotherapy (different modalities) can succesfully treat it without medication, although those are not necessarily antagonic approaches. Regularly psychiatrists use both (in a sequence, or at the same time) to maximize outcomes and obtain the fastest results.

Depression, Anxiety: Yes! With Motivation to have intensive Therapy for improvement of: •Physical Health •Intellectual Health •Social Health •Spiritual Health Emotional Health •Resolving feelings of sadness, hurt, disappointment, resentment, anger, frustration, helplessness and hopelessness •Closure of agonizing experiences •Resolving emotional conflicts inrelationships •Improving Self-esteem •Coping with stress

Please see a Clinical Psychologist with expertise in multiple types of psychotherapy to evaluate your problems and help you. If you need medication in addition to psychotherapy your Psychologist can help you figure that out. It would also be good to get a complete physical examination to find out if your symptoms are caused by a physical illness.