Add the chicken, stock, salt and pepper, and tomato paste to the pan, turning to coat the chicken, and bring to a boil. Reduce the heat, cover, and simmer gently for 18 minutes. Add the carrot, cover the pan again, and cook for about 8 minutes. Add the zucchini, cover, and cook for 6 to 7 minutes, until the chicken and vegetables are both cooked through and tender. Add the dates and stir to coat.