Yes, it is possible with certain medications that it can accelerate hair loss and we always must evaluate the  risk vs. benefits of treatment in these cases. But there are some over the counter things that work if the causative medication has been helpful with psychiatric symptoms.  For starters, one can try 200mcgs of selenium in combination with 50 mg of zinc. Nioxin shampoo has also been recommended as well as addition of rosemary and lavender to hair products.  5000mcgs Biotin has also been recommended. It is  important to make sure  hair loss is not caused by another underlying medical condition like hypothyroidism or as a side effect from oral contraceptive pills. If you are loosing hair, discuss this with your doctor as there are treatments.