Finely chop the onion and bell peppers. Mince the garlic and ginger if not already prepared. Separate and wash the lettuce leaves, then set them aside.
Place a large skillet or frying pan over medium heat. Add 1 tablespoon olive oil and let it warm for about 30 seconds.
Add the finely chopped onion, minced garlic, and minced ginger to the pan. Cook for 2–3 minutes, stirring frequently, until the onion becomes soft and fragrant.
Stir in the chopped bell peppers and cook for another 2–3 minutes until slightly tender.
Add the 2 cups shredded cooked chicken breast to the pan. Stir well to combine with the vegetables.
Add the soy sauce, sesame oil, and honey. Mix everything together until the chicken is evenly coated with the sauce.
Add salt and black pepper to taste. Stir well and cook for 2–3 minutes until the mixture is heated through.
Remove the pan from the heat. Spoon the warm chicken mixture into the center of each lettuce leaf.
Fold or roll the lettuce leaves around the filling and serve immediately while warm.