In a large skillet over medium heat, add the sesame oil. Once hot, add the minced garlic and grated ginger, sautéing for about 1 minute until fragrant.
Add the ground chicken to the skillet, breaking it apart with a spatula. Cook until browned and cooked through, approximately 5-7 minutes.
Stir in the carrots, red bell pepper, and snap peas. Cook for an additional 3-4 minutes until the vegetables are tender-crisp.
In a small bowl, whisk together the peanut butter, soy sauce, honey, and sriracha until smooth. Pour this sauce over the chicken mixture and stir well, ensuring everything is evenly coated.
Remove the skillet from the heat and mix in the chopped green onions.
Carefully separate the lettuce leaves to create cups, washing them gently if necessary.
To serve, spoon a generous amount of the spicy chicken mixture into each lettuce cup.
Top with chopped peanuts and fresh cilantro for garnish.