Slice or shred the cooked chicken into bite-sized pieces.
Prepare the vegetables by dicing the cucumber and tomatoes, grating the carrots, chopping the cilantro, and slicing the green onions.
In a small bowl, whisk together the powdered peanut butter, almond milk, lime juice, garlic, honey, rice vinegar, soy sauce, sesame oil, and grated ginger until smooth and creamy.
Taste the peanut sauce and adjust with additional lime juice or a splash of almond milk if needed.
Arrange the butter lettuce leaves on a serving platter.
Fill each lettuce leaf with shredded chicken, cucumber, carrots, tomatoes, cilantro, and green onions.
Generously drizzle the peanut sauce over each wrap.
Serve the Thai Chicken Lettuce Wraps immediately with extra lime wedges and chopped peanuts if desired.