In a bowl, whisk seasoning with coconut milk, peanut butter, soy sauce, and lime juice. Set aside.
Preheat wok over medium high, then swirl in oil. Add chicken; stir-fry for 5 min. Remove from wok and set aside.
Add broccoli, peppers, and celery to wok; stir-fry for 5 min or until tender-crisp. Return chicken to wok and pour in reserved sauce. Simmer for 1–2 min. Sprinkle with chopped peanuts, if desired.