In a large pot, heat oil over medium heat. Add onions and carrots and saute until soft, about 5 minutes.
Add tomato paste and cumin and continue to cook while stirring until tomato paste darkens, about 1 minute more.
Add cooked chicken, garlic, ginger, and salt and saute until garlic is fragrant, about 1 minute more.
Stir in chicken broth and beans and bring to a simmer. Allow to simmer for about 10-15 minutes. Add kale and continue to cook until kale is wilted, about 10-15 minutes more.
Turn off the heat, stir in lime juice, and serve!