oui ! that's right. like if you want to learn healing magic, you can learn it even if you're from the west. most elves stay in their respective places, but some do venture out, depending if your family allows you to branch out on your craft. sometimes teachers are from different areas and are welcomed to teach the different crafts in the diff. areas.
i imagine elves who live in the north who has a lineage of being healers in their family will be able to quickly understand their craft as it's passed down from generations to generations and are taught at a young age ( they may not be masterful as their ancestors at a young age, but are still connected to healing better than say an elf who has learned nature and wants to learn healing magic ).
so, if i'm from the north and my family has been healers since the dawn of time. and i was born and i started learning how to craft my magic from a young age, i would be better at healing magic than say another elf who was born from a lineage of earth based magic, but i won't necessary be as good as them in earth magic, vice versa. ( there are special cases in which someone who is born in their respective areas may be 'bad' at it, but it's very rare )
"if i'm from the north and my family has been healers since the dawn of time" - You meant light magic right xD? West was healing in the lore you posted above :3