Bring a pan of water to the boil and cook the noodles following pack instructions. Drain and refresh under cold, running water to stop them sticking.
Mix the sesame oil with the olive oil, and heat half in a large wok until hot. Stir-fry the chicken for 3-4 minutes until golden. Remove from the pan and set aside.
Heat the remaining oil in a pan until hot. Stir-fry the onion, carrots, garlic and cabbage for 2 minutes, add 2 tablespoons water and stir-fry for another 3-4 minutes. Stir in the soy sauce, drained noodles and par-cooked chicken, and cook for another few minutes until piping hot. Scatter with the sesame seeds before serving.