Press the sauté function on the Instant Pot and add the olive oil. Once hot, add the onion and cook for 3 minutes until it softens.
Stir in the garlic, cumin, coriander, smoked paprika, cinnamon, and cayenne. Cook for 1 minute until fragrant.
Add the chickpeas, diced tomatoes, and vegetable broth. Stir to combine.
Secure the lid and set the valve to sealing. Cook on manual high pressure for 8 minutes.
Quick release the pressure, then open the lid. Stir in the kale, salt, and black pepper. Let the soup sit for 3 minutes so the kale wilts.
Serve hot with lemon wedges on the side.