Heat olive oil in a large skillet over medium heat.
Add ground chicken and cook until browned and fully cooked.
Stir in minced garlic and grated ginger and cook for 1 minute.
Add chopped water chestnuts and green onions to the skillet.
In a small bowl, whisk together soy sauce, hoisin sauce, rice vinegar, sesame oil, and sriracha sauce.
Pour the sauce mixture into the skillet and stir well to coat the chicken mixture.
Cook for 2–3 minutes until the sauce slightly thickens.
Remove from heat and spoon the chicken mixture into lettuce leaves.
Garnish with sesame seeds and extra green onions if desired.
Serve immediately while warm.