In a medium bowl, whisk together soy sauce, honey, sesame oil, rice vinegar, minced garlic, and grated ginger to create a teriyaki sauce.
In a large skillet over medium heat, add a drizzle of oil and then add the diced chicken thighs. Sauté until cooked through and no longer pink, about 6-8 minutes.
Pour the teriyaki sauce over the cooked chicken in the skillet. Stir to combine and allow to simmer for about 2-3 minutes, so the flavors meld and the sauce thickens slightly.
Add the grated carrots, diced bell peppers, and half of the sliced green onions to the chicken. Cook for an additional 2-3 minutes until the vegetables are slightly softened but still crunchy.
Remove from heat and let the mixture cool slightly.
To assemble, take a lettuce leaf and scoop a generous amount of the teriyaki chicken mixture into the center.
Sprinkle with sesame seeds and top with the remaining green onions before folding the lettuce over the filling like a cup.
Notes
Arrange the lettuce cups on a platter and serve with a small bowl of extra teriyaki sauce for dipping.