Yup. Mail-clad shield-toting Medieval infantry too seems to generally have weathered the intense and extended attentions of archers quite fine generally. For example I've read there was one phase in the Battle of Yarmuk where armoured Arab infantry was for an extended period subjected to Byzantine horse-archery; Muslim sources apparently know the episode as "the Day of Lost Eyes", succintly illustrating the most consipicious type of injuries sustained.

On the same vein the Crusader States used mail-clad heavy spearmen as a living wall to protect the cavalry horses from arrows.

On the other hand, in naval boarding actions for example archers could be a murder. Ottoman Janissary archers for example seem to have been able to cause real damage to even plate-clad Europeans at the distances involved.