Like the title says. Can you deploy Jaan Star in the Impersonation state, and also assign a Symbiomate to him? I don't see any reason why not - the Assignable trait says that it allows assigning equipment to a Trooper, but doesn't say anything about that Trooper having to be in model state. However, a lot of people in this thread seem to be of the view that it can't be done: Why don't HB/Haqq Impersonators cost SWC? | Corvus Belli Community Forum
No, as per the Assignable label. https://infinitythewiki.com/Labels "When deploying its owner during the Deployment Phase, and only then, this weapon or piece of Equipment can be assigned to Troopers who possess the Transmutation (W) Special Skill, and are present on the game table as a Model (excluding Troopers using Airborne Deployment, Hidden Deployment, Impersonation State, etc.)."
That's what I get for reading the wiki too quickly. I always wondered why Tohaa players weren't doing this to me all the time, now I know!