Yes, you can exfoliate your scalp! Grab a soft silicone scrubber or a dedicated scalp brush (available at any drugstore). Use it during shampooing to slough off dead skin without the scratching. It feels like a tiny massage from a robot friend.
Alternatively, try a gentle DIY scrub: mix a tablespoon of brown sugar with your conditioner. Rub it in circles, then rinse. Instant snow melt. Do this once a week to keep the flakes from building up and staging a coup.