If you just want it to be rolled/unrolled, and assuming you've extruded from the side profile, create two configurations. One where it's straight (unrolled) and one where it's a spiral (rolled).
Now, if you want to have fun, create a part that represents one section of the door and then build an assembly. Mate the assembly to a sketch that represents the rolled up spiral and then you should be able to actually open and close the door.
You might be best to model them as individual pieces like it is actually built and hinge them together. Then you can draw the spiral and use a path mate to constrain them in an assembly so they move as you desire.