Are you looking to make soup faster, or are you trying to use the air fryer because your stovetop is busy?
The thing is, air fryers aren't really the best tool for soup. They work by circulating hot air, which is great for crisping things up, but soup needs liquid and consistent heat from below. What some people do is use the air fryer to prep ingredients - roasting vegetables, crisping bacon or croutons - then finish the soup on the stovetop. That's actually faster overall than doing everything by hand, and you get better results. Roasting vegetables in an air fryer does intensify their flavor compared to boiling them, so your final soup tastes richer.
If you want to cook an actual soup *in* the air fryer, you're looking at putting a heat-safe pot or small Dutch oven inside and basically using it as a convection oven. It works, but it's slower than the stovetop and doesn't offer much advantage. The air fryer basket isn't designed for holding liquid, and you lose the benefits of direct heat. You'd be better off sticking to the stovetop for the actual cooking.
My suggestion: use the air fryer for roasting your soup ingredients - carrots, onions, garlic, tomatoes - at high heat for 5-10 minutes, then dump everything into a pot with your broth and finish it quickly on the stove. Vegetable soups, chicken soups, even French onion benefit from this approach. You'll get done faster than doing it all the traditional way, and the soup actually tastes noticeably better.