Rinse whole lettuce leaves and pat dry. Add 2 teaspoons oil to a large skillet over medium heat, then sautee the chicken until cooked thoroughly, about seven to 10 minutes. In a medium bowl, whisk together remaining oil, rice wine vinegar, soy sauce and honey until thoroughly mixed. Add chicken, carrots and almonds. To serve, allow guests to scoop chicken mixture onto a lettuce leaf. Wrap the lettuce around the meat like a burrito.