I am going to say no, not without a lot of custom work.
The screen must be level and square to the projector lens.
Your back to the custom engineering again with different length cables on computer controlled motors to lower the fully closed screen from the ceiling into a level configuration at exactly the proper height, then lowering the screen. In your other thread you said you had approximately $1000 budget, has that changed? You will probably not find much in the way of quality AT manual screens let along an electric one for $1000. I am going to go out on a limb and say without looking an AT screens, you will need it to be a tensioned screen (much more expensive then non tensioned) if you don't want waves in the screen surface. Maybe a perf would work but any kind of weave would need to be tensioned. Without some give on the better halves side you might want to look at some other room.. If you had unlimited depth in the pockets, I bet you could get it something built..
The assumption is there is a roof over that ceiling.. no attic space, correct?