No, it is currently not possible to permanently turn white hair back to black.
While there are various hair dyes and treatments available that can temporarily color white hair, these solutions only offer a temporary fix. The pigment in hair dye coats the hair shaft, but it doesn't affect the underlying hair follicles that produce melanin, the pigment responsible for hair color.
Once the dye fades, the white hair will reappear.
The only way to permanently change hair color is to prevent the production of white hair in the first place. This can be achieved by addressing the underlying causes of hair whitening, such as genetics, age, and certain medical conditions.
However, there is no proven method to completely reverse the process of hair whitening.
Therefore, while there are temporary solutions to cover white hair, permanently turning it black is not currently possible.