Do la mancha goats have horns?

Yes, La Mancha goats are known for their lack of horns, or being polled.

This is actually one of their defining characteristics. However, they are not completely hornless. Some individuals may have very small "scurs," which are small, bony bumps on their heads where horns would normally grow. But these scurs are considered a desirable trait in the breed and do not affect the goat's overall health or temperament.