Yes. MC1R which people with red hair carry. It's a very strongly associated gene. Also "People with freckles and no red hair have an 85% chance of carrying the MC1R gene that is connected to red hair. People with no freckles and no red hair have an 18% chance of carrying the MC1R gene linked to red hair."

https://en.wikipedia.org/wiki/Melanocortin_1_receptor