Yes, it's possible. However, you'll have to develop some kind of house rule, and houserules can be very difficult to balance properly. You might want to increase the threat level by 1 per mission. Or maybe the Imperial player gets more threat to start a mission...similar to how it works when using an Ally like Han or Chewie.
So it's definitely do-able. The important thing is that you do it in a way what is fun for all the players (including the Imperial player)...if that is successful then yes, I don't think there's any reason not to add an extra player.
Just recognize that it may skew the balance of some missions, that's all.
_________________ "Try not! Do, or do not. Thereisnotry." --Yoda
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