Simple answer - No
Whole answer - This is fly by wire. There is no mechanical/hydraulic linkage between the stick and the control surface. Think of your computer and a wireless mouse. If your computer crashes no amount of moving your mouse is going to do anything to the computer.
Or is there really a trim tab at all? Maybe the whole stabilizer is used to trim and there is no separate trim tab at all? If so then that is f'd IMO.