Heat the olive oil in a large pot over medium heat. Add the pork tenderloin pieces and cook until lightly browned on all sides, about 5 minutes. Remove the pork and set it aside.
Add the diced onion to the same pot and cook until softened, about 4 minutes. Stir in the minced garlic and cook for 1 minute more.
Pour in the chicken broth and add the diced tomatoes with their juice. Stir in the oregano, basil, salt, and pepper. Return the pork to the pot and bring the mixture to a simmer. Cook for 15 minutes.
Add the white beans and simmer for another 10 minutes. Stir in the chopped kale and cook until it wilts, about 5 minutes.
Ladle the stew into bowls and top each serving with grated Parmesan cheese.