Is there a way to cure vitiligo on the face?

No promises: Ask your dermatologist about topical tacrolimus. The phototherapy isn't that effective, the melanocyte transplants are still tried, there are cover-ups, if it becomes widespread your skin has simply changed color, and you and/or other special people in your life may decide it's cool, as a couple of professional athletes and actors have done.

Facial vitiligo: Unfortunately, not much. Some success has been noted using fractional ablation with lasers, allowing ingrowth of melanocytes. The evidence is inconclusive as tho the efficacy of stem cell transplantation.