Heat the oil in a large frying pan or wok. Sauté the shallot, pepper and chicken slices for a few minutes, until the chicken is browned.
Stir in the chilli flakes, honey, soy sauce, sesame oil, and lime juice. Stir-fry for a few minutes.
Add the pak choi and pour in the cornflour and water mixture. Heat gently for another 3-4 minutes, stirring occasionally, until the chicken is cooked.
Add the noodles and warm through.
Transfer to a serving bowl and sprinkle with sesame seeds to serve.