In a blender, blend the first 4 ingredients (lemon juice through salt and pepper) until smooth.
In a large skillet over medium heat, heat coconut oil. To the skillet, add the chicken and cook for 5 minutes, until brown. To the chicken, add the pesto and cook for 5 to 10 minutes, until chicken is cooked through.
In a mixer, blend the remaining ingredients (sweet potatoes through garlic) until smooth. Serve chicken with mashed potatoes.