Heat olive oil in a large skillet over medium-high heat.
Add ground turkey, garlic, and ginger. Cook for about 6 minutes, breaking it apart until browned.
Stir in green onions and chopped water chestnuts. Mix well and remove from heat.
In a small bowl, whisk together hoisin sauce, soy sauce, rice vinegar, and chili paste.
Pour the sauce over the turkey mixture and toss until evenly coated.
Spoon about ¼ cup of the mixture into each lettuce leaf. Serve immediately and enjoy your Asian Turkey Lettuce Wraps.