I don't think it's suuuuper likely but it's really fun to think/theorize about. I know enchantling is basically a much younger version of the titan enchantler which might make the lore a bit confusing, but enchantler is a titan while enchantling is not yet. As a titan, it stands to reason that it could have a titansoul entirely separate from the existing quad.
Plus, enchantling's bio says "the exact nature of the relationship between these two entities remains a mystery," which lends itself to the possibility of future discoveries in the lore, perhaps.
While there are various reasons as to why it wouldn't be likely, such as the lack of a sanctum statue at the magical nexus that has signified both titansouls before in the trailers, nothing seems so set-in-stone that it's impossible. I mean, there's nothing stopping them from adding a sanctum statue to the nexus, for example.
It's just fun to think about! Especially imagining how much it could add to the already amazing song