Mix honey, soy sauce, cornstarch, and garlic together in a small bowl.
Heat oil in a large skillet over medium heat. Cook and stir chicken until no longer pink, 5 to 8 minutes. Pour honey mixture over chicken; cook and stir until sauce thickens and coats chicken, 3 to 5 minutes.
Divide warm rice among tortillas; spoon chicken on top. Cover chicken with carrots. Roll up wraps.