It is POSSIBLE, but unlikely, that this would be your first intimation of DID.
Have you had lost time in the past ?
Have you had episodes of dissociation, fugue, or any other symptoms like that?
Do you have memories of a continuous past ? Which all feels like you experienced it ?
Perhaps you have recovered a memory of a trauma, that would still not make you dissociative.
You should talk to your t about this, but don't expect a dissociative dx.