Prep your lettuce and veggies: Gently separate the lettuce leaves, rinse, and pat dry. Slice cucumber, shred carrot, and chop peanuts.
Set everything aside.
Make the light peanut sauce: In a bowl, whisk peanut butter, rice vinegar, soy sauce, lime juice, honey, and sesame oil. Add warm water a tablespoon at a time until the sauce is smooth and light enough to drizzle. Taste and adjust salt, sweetness, and heat.
Sauté aromatics: Heat oil in a large skillet over medium.
Add shallot, garlic, and ginger. Cook 1–2 minutes until fragrant, stirring often to prevent browning.
Cook the chicken: Add ground chicken to the skillet. Break it up with a spatula and cook until no longer pink, 5–7 minutes.
If using chopped breast, cook until just cooked through.
Season the filling: Stir in soy sauce, fish sauce (if using), lime juice, and chili garlic sauce. Cook 1 minute to combine. Taste and adjust seasoning—add more lime for brightness or soy for saltiness.
Assemble the wraps: Place a spoonful of chicken into each lettuce leaf.
Top with cucumber, carrot, and herbs. Drizzle lightly with peanut sauce and sprinkle with chopped peanuts.
Serve with lime wedges: A squeeze of lime right before eating lifts all the flavors.