Can taking vitamins and a protein supplement help my hair grow a little faster?

Depends. For healthy hair growth: Get adequate sleep,avoid excess sugar & fat in diet, v carbonated beverages, eat enough protein, exercise regularly. Biotin helps (but don't over do it). Insure you have adequate Iron (think kale & other dark green leafies), Omega 3 fatty acids (think walnuts) and vitamin E (fruits & vegetables).