Place broccoli in a steamer over 1 inch of boiling water, and cover. Cook until tender but still firm, about 5 minutes.

Heat the oil in a skillet over medium heat, and saute the chicken, green onions, and garlic until the chicken is no longer pink and juices run clear.

Stir the hoisin sauce, chile paste, and soy sauce into the skillet; season with ginger, red pepper, salt, and black pepper. Stir in the chicken stock and simmer about 2 minutes. Mix in the steamed broccoli until coated with the sauce mixture.