In a small bowl or glass measuring cup, whisk together the soy sauce, honey, ginger, garlic powder, hot sauce and fish sauce. Set aside. In a food processor, combine the carrots and onion. Pulse until finely chopped. Add the chicken, then pulse several times to begin chopping the chicken. Add the sauce then continue pulsing just until the chicken is well chopped, but not ground. The pieces should be about 1/4 inch to 1/2 inch. In a large skillet over medium-high, heat the oil. Add the chicken and cook, stirring often and breaking up any clumps, until cooked through, about 8 minutes. In a small glass, stir together the cornstarch and water, then add to the skillet. Stir and cook for another 2 minutes. Transfer the chicken to one side of a serving platter. Arrange the lettuce leaves on the other side. Diners help themselves by spooning the chicken into individual leaves, using the leaves as they would a sandwich wrap.