In a mixing bowl, combine the drained tuna, diced bell peppers, shredded carrots, and sliced green onions.
In a separate small bowl, whisk together the mayonnaise, soy sauce, rice vinegar, honey, sesame oil, salt, and pepper until well combined.
Pour the sauce over the tuna and vegetable mixture, and toss gently to coat everything evenly.
Take a large lettuce leaf and spoon a generous amount of the tuna mixture onto the center of the leaf.
Fold the sides of the lettuce leaf over the filling, and roll it up tightly to form a wrap.
Repeat the process with the remaining lettuce leaves and tuna mixture.
Serve immediately.