In some cases, YES.
It's true that vitiligo causes the skin to lose its natural color. So patches of lighter skin appear. Some people develop a few patches. Others lose much more skin color. Also, vitiligo can affect other parts of your body. A section of hair can turn white. Some people even lose color inside their mouths.
Specifically, in vitiligo, the immune system attacks the pigment cells in the skin. In fact, some of those pigment cells are in hair follicles and are attacked as well. But since white hairs don't have pigment cells, they are unscathed by the autoimmune assault.
Keywords: vitiligo hair