Heat oil in a large skillet or wok. Add the vegetables and stir fry until softened slightly (not browned). Remove to a warm bowl. Repeat with chicken, ensuring all pieces are completely cooked. Return vegetables to the skillet. Add chilli garlic sauce and Hoisin sauce. Stir gently and simmer for 5 more minutes. Add the cream and parmesan and allow to simmer for about 3 minutes until the cream has thickened slightly. Serve on rice, pasta, or brown rice vermicelli.