Yes, rye flour does contain bran, but you have options if you need a substitute. White rye flour is refined and has less bran, making it a
possible alternative. If you're open to using different grains, light spelt flour or white wheat flour can also work, though they still contain gluten. For a gluten-free option, consider oat flour, though it will change the texture and flavor of your bread. Always double-check the flour specifications to ensure it meets your needs.