Preheat a 5- or 6-quart air fryer to 400°F for 3 minutes.
In a medium bowl, combine olive oil and honey.
Add the broccoli and Brussels sprouts to the bowl and toss well to coat.
Season with salt and pepper.
Carefully pull out the air-fryer pan and basket, then place the broccoli and Brussels sprouts in the basket.
Slide the pan and basket back into the appliance.
Keep the temperature set at 400°F and set the timer for 8 minutes.
Cook, stirring halfway through the cooking time, or until the vegetables are beginning to crisp at the edges.
Place the kale leaves in the basket and spray them with cooking spray.
Set the timer for 4 minutes and leave to cook.
Place the garlic and prosciutto on top of the vegetables.
Set the timer for 5 minutes and cook until the prosciutto is crisp.