Yes, Coconut milk is a great nutrient for your tresses. Coconut milk has several benefits for hair. 
Deep conditioning: Coconut milk is rich in nutrients, including vitamins and minerals, that can deeply condition and nourish the hair, leaving it soft and smooth.
The natural fatty acids present in coconut milk help moisturize and hydrate the hair, preventing dryness and promoting overall hair health. Additionally, Coconut milk contains essential nutrients like vitamins E and K, iron, and lauric acid, which can promote hair growth and prevent hair loss while reducing frizz while adding shine. 
5. Adds shine: Coconut milk can help enhance the natural shine of the hair, making it appear lustrous and healthy. While the milk strengthens your hair strands, the milk can reduce breakage while growing your hair. 
Remember, individual results may vary, and it's always a good idea to do a patch test before using coconut milk or any new product on your hair to check for any adverse reactions.