Add all the ingredients, except the chicken and unsweetened coconut chips, to the food processor bowl.
Blend until smooth, scraping down the sides and re-blending as needed. Taste and adjust seasoning as desired.
Lastly, add the unsweetened coconut flakes and pulse several times until slightly broken down, but still a little chunky.
Place the cubed or shredded chicken in a large bowl and pour the basil mixture on top. Mix well to coat all of the chicken.
Serve however you like and garnish with extra coconut flakes, fresh basil and/or red pepper flakes, if desired.