Set the Instant Pot to saute mode and heat the olive oil. Add the onion and garlic, then cook until the onion softens.
Add the pork pieces and stir until they brown lightly on all sides.
Stir in the diced tomatoes, white beans, chicken broth, rosemary, and thyme. Season with salt and black pepper.
Secure the lid and cook on high pressure.
Quick release the pressure once cooking finishes, then open the lid.
Stir in the kale until it wilts.
Ladle into bowls and top each serving with grated Parmesan cheese.