Heat the coconut oil in a large pot over medium-high heat. Stir in the ginger and garlic; cook until the ginger softens and the garlic just starts browning, about 3 minutes. Add the turnip and kale and cook, stirring occasionally, until the kale is wilted, about 4 minutes.
Add the turmeric and 1/2 teaspoon each salt and pepper; stir until the vegetables are coated. Add the chicken broth and 3 cups water. Bring to a boil, then reduce the heat to a simmer and cook until the turnip is just tender, about 10 minutes.
Add the chickpeas and chicken to the pot. Increase the heat to medium high and return the soup to a simmer. Cook until the chicken is warmed through, about 5 minutes. Season with salt, pepper and a squeeze of lemon juice. Serve with naan.
Photograph by Ryan Dausch