Can anxiety be naturally cured?

Maybe. Exercise is a great way to relieve stress. Your body releases endorphins during exercise, which can help you feel calm. If you exercise 30 - 60 minutes a day, your stress levels can improve. When stressed, take 5 slow, deep breaths with your eyes closed, then roll your shoulders forward 5 times, then back 5 times. This will slow your heart rate and release tension in your neck and shoulders.
Glutamine. Take glutamine at night 2000mg and if you still feel sad add trypophan or anxious add tyrosine see whether this helps if no relief in 2 weeks get tested.
Mindfulness. Reading on "mindfulness" is an effective way to treat anxiety without medications.