In a small bowl, combine chicken, chutney, soy sauce, and ginger. Let marinate in refrigerator for 1-2 hours.
In a medium skillet over medium-high heat, add oil. When heated, add chicken mixture and stir fry for 6-8 minutes or until cooked through.
When chicken is cooked, assemble tacos with chicken on the bottom, followed by lettuce, carrots, and avocado.