Preheat air fryer to 300°. Unroll crescent dough; separate into 8 triangles. Place 1 teaspoon Nutella at the wide end of each triangle. Sprinkle with graham crackers, chocolate chips and marshmallows; roll up.
In batches, arrange rolls, point side down, in a single layer on greased tray in air-fryer basket. Curve to form crescents. Cook until golden brown, 8-10 minutes. In a microwave, warm remaining Nutella to reach a drizzling consistency; spoon over rolls. Serve warm.