Heat the oil in a heavy large pot over medium heat. Add the onion, carrots, celery, pancetta, and garlic. Saute until the onion is translucent, about 10 minutes. Add the Swiss chard and potato; saute for 2 minutes. Add the tomatoes and rosemary sprig. Simmer until the chard is wilted and the tomatoes break down, about 10 minutes.
Meanwhile, blend 3/4 cup of the beans with 1/4 cup of the broth in a processor until almost smooth. Add the pureed bean mixture, remaining broth, and Parmesan cheese rind to the vegetable mixture. Simmer until the potato pieces are tender, stirring occasionally, about 15 minutes. Stir in the whole beans and parsley. Simmer until the beans are heated through and the soup is thick, about 2 minutes. Season with salt and pepper, to taste. Discard Parmesan rind and rosemary sprig (the leaves will have fallen off of the stem.)
Ladle the soup into bowls and serve.