Put a large pot of water on to boil for cooking pasta.
Heat oil in a large nonstick skillet over medium heat. Add tofu and cook, stirring, until lightly browned, 3 to 5 minutes. Transfer to a plate. Add onion to the pan; cook, stirring often, until softened and golden, 2 to 3 minutes. Add garlic and crushed red pepper; cook, stirring, for 30 seconds. Return the tofu to the pan and add broth and squash; bring to a simmer. Cover and cook for 10 minutes. Add chard and stir to immerse. Cover and cook until the squash and chard are tender, about 5 minutes.
Meanwhile, cook pasta until just tender, 8 to 10 minutes or according to package directions. Drain and return to the pot. Add the squash mixture, Parmesan, salt and pepper; toss to coat.