Combine kale, pine nuts, Parmesan, garlic, lemon zest, lemon juice, water, salt and 1 teaspoon oil in a food processor. Process until nearly smooth, scraping down the sides as necessary. Set aside.
Heat the remaining 1 teaspoon oil in a large nonstick skillet over medium-high heat. Add tomatoes and cook, stirring occasionally, until slightly soft, about 2 minutes. Add beans and cook, stirring occasionally, until heated through, about 3 minutes. Season with pepper.