In a medium bowl, whisk together the peanut butter, soy sauce, honey, rice vinegar, sesame oil, minced garlic, and grated ginger until smooth and creamy.

In a large mixing bowl, combine the shredded chicken with half of the prepared peanut sauce, mixing until well-coated.

Lay out the lettuce leaves and spoon the chicken mixture onto each leaf.

Top each lettuce leaf with shredded carrots, sliced bell peppers, and cilantro.

Drizzle more peanut sauce over the top if desired.

Fold the lettuce leaves over the filling and serve immediately.