Yes, but MAYBE not so extreme. Say, a rheinland ship lost in the von rhoe belt, succumbing to radiation, situations like that. It would basically be a giant, moving, player-controlled wreck...though it could contain all manner of things.
@ Chenzo
Well, it would either be guided by the AI, following the orders set into the autopilot before the captain's death, or drifting under its remaining impulse engines, guided by gravity or collisions, or many other different forms of control that could be applicable...but for this case, yes, it'd be the AI/Autopilot carrying out its orders.
A million dollars isn't cool. You know what is cool? A basilisk.