Yes! Always see a doctor after a car accident! You may not have suffered a visible scratch, and you may feel fine, but not all damages are apparent. In fact, many are effectively masked by adrenaline in accident scenarios.  If something is wrong with you, you may be the least qualified to detect it or to appreciate its gravity. A medical professional knows best when you should seek treatment (and, by corollary, compensation to cover that treatment) after an accident.