Using Family Sharing, is it possible to share music purchased with iTunes under a different Apple ID from the one used with iCloud with yourself? In effect, sharing two Apple IDs for media.

Using Family Sharing, is it possible to share with yourself iTunes music purchased under a different Apple ID from the one used with iCloud? In other words, could my iPhone still have access to my iTunes music that was purchased on my Mac under a much older Apple ID than the one I use for iCloud? Could Family Sharing be used this way even for a single user?