Preheat a 6-quart air fryer to 390°F for 3 minutes. Toss chicken, peppers, and onion with oil, chili powder, cumin, salt, garlic powder, and pepper.
Arrange half in a loose shallow layer. Air fry 6 minutes; gently toss and cook 6 to 8 minutes more until chicken reaches 165°F and vegetables have browned edges.
Transfer to bowl; repeat remaining mixture. Toss both cooked batches with lime juice.
While second batch cooks, warm tortillas in a dry skillet 20 to 30 seconds per side.
Divide chicken and vegetables among tortillas; serve 2 filled tortillas per person.