The Prophet Muhammad (peace be upon him) did comb his hair, but he forbade doing so excessively.
According to a hadith, the Apostle of Allah (peace be upon him) "forbade combing the hair except every second day." This indicates that while combing was practiced, there was a discouragement against excessive grooming. The wisdom behind this could be to avoid vanity or to conserve time and resources.
Therefore, the answer is yes, the Prophet combed his hair, but not daily.
