Yes. The National Board for Accreditation of Healthcare (NABH) Patient Charter has provisions for this.

5. Right to redress

1. Patient has the right to justice by lodging a complaint through an authority dedicated for this purpose by the healthcare provider organisation or with government health authorities.
2. The patient has the right to a fair and prompt hearing of his/her concern.
3. The patient in addition has the right to appeal to a higher authority in the healthcare provider organisation and insist in writing on the outcome of the complaint