Yes, I absolutely believe it is possible. I recently watched some podcasts by professionals and specialists who work with clients who have DID and/or experienced complex developmental trauma, and they discussed this very topic.

Trauma during the developmental years interrupts and disrupts 'normal' human development. That is a proven thing. Disrupted human development means that not all of the critical developmental tasks (that lead to 'normal' human development) were achieved. If not all critical developmental tasks are achieved that leads to specific areas where development is halted or stuck at an earlier level.
It stands to reason that if the critical developmental needs that enable normal development to take place were not met in infancy, then one would have parts of self / emotional aspects that felt 'stuck' at that developmental or emotional level.