In a small bowl, whisk together peanut butter, lime juice, sriracha, and warm water until smooth to create the peanut sauce.
Heat sesame oil in a large skillet over medium-high heat.
Add ground chicken to the skillet and cook until browned, breaking it into small crumbles.
Incorporate the minced ginger, garlic, and diced water chestnuts; sauté for 2 minutes until fragrant.
Stir in the soy sauce, hoisin sauce, and rice vinegar, ensuring the chicken is evenly coated.
Simmer the mixture for 3 to 4 minutes until the liquid has reduced and thickened slightly.
Divide the shredded lettuce and carrots among four bowls.
Top the lettuce base with the chicken mixture, drizzle with the prepared peanut sauce, and garnish with chopped green onions.