I just did it. (Pics forthcoming.) It's a safe bet.
I noticed there's two
other threads about a problem with power windows (likely to require replacing the motor/regulator).
In words, here's the deal: Take the door panel off. (Pry off the black fin by the side view mirror, then pry off the arm rest. Then unscrew the screw in the inside door handle, and the two screws revealed underneath the arm rest. Then unscrew 1/4 turn and pry out the plastic screw on the outer edge of the door. You can now pry off the door panel, start at the bottom and work up; it will lift up at the top.) The inside door handle will fit through its hole in the panel if you rotate the panel. Unplug the wiring harness (for the power windows and locks).
Use a ziploc baggie or other so you don't lose any screws. (In a pinch, you could use the ashtray.)
Peel off the plastic weather guard. (Be careful about the black gunk that holds it on.) Unscrew the two screws holding a black metal cover in place in the lower corner of the door, and remove that cover.
Pop the control panel off the door panel and plug it back into the wiring harness. (You actually need to have the car powered --
not battery disconnected -- to do this job.) Roll the window down until two 10mm bolts are visible through the metal panel of the door. One of the nuts will be visible / accessible through the big hole you just opened by removing that metal cover. The other one will be visible / accessible though a smaller circular hole. Basically, roll down the window until you can get to the nut through that smaller circular hole. These are what attach the window pane itself (with two plastic tabs glued on) to the motor/regulator. Remove those bolts (carefully, so they don't fall down inside the door). The plastic tabs for the window pane have some indentations that match protrusions where the nuts are (to keep it more securely in place and aligned). Just push back on the arm of the motor/regulator to separate them. Then
carefully lift up on the window pane, and you can actually pull it completely out of the door frame. Put it somewhere soft and safe. (I just used the back seat.)
Now there's 4 (four) 10mm bolts on the door that are holding the main body of the motor/regulator to the door frame, and there's 2 (two) more 10mm bolts holding an "arm" of the motor/regulator to the door frame as well (closer to the outer edge of the door). (There's another bolt above those latter two that you don't need to remove.) One of those 4 bolts I first mentioned is actually a nut and a double-sided threaded screw. You can just remove the nut for now, but make sure you also remove the screw once the motor/regulator is out of the door.
Also, you need to unplug the wiring harness that goes to the motor/regulator (with all the other wiring harnesses in the upper corner of the door), and squeeze the plastic wedges that are holding it affixed to the metal frame of the door to get it out. You can use your hand to feel where the wires go to know which one is for the motor/regulator, as opposed to for the speaker or whatever.
With the wire unplugged and all the bolts removed, you can pull the motor/regulator out through the big hole revealed when you removed the black metal cover. Unscrew that double-sided threaded screw from the old motor/regulator with your fingers and screw it into the same location on the new motor/regulator. Then put the new motor/regulator back in the door frame in the same way that you took the old one out. Screw the 4 main bolts back in to the new motor/regulator, then screw the two "arm" bolts back on, and plug the wiring harness in.
Now use the power window to roll up the window so that the arm of the motor/regulator is where it needs to be to screw the two bolts that attach the window to it. Put the window back in (make sure it feels like it's smoothly in the guide rails) and pop the plastic tabs back onto the new arm, and screw in those two bolts.
Unplug the wiring harness for the power window and lock controls, put it back in the door panel, and put the door panel back on, and you're done.
The only caveat I encountered is that the "cheap" $60 motor/regulator I mentioned from eBay has the controls backwards. (Up is down and down is up.) I didn't realize this until I tried to put
both windows down from the driver's side simultaneously; after I already thought the job was done.
(I also have replacement side power mirrors also with backwards controls; up is down, down is up, left is right, and right is left. Either I have a strange Corolla, or these 3rd party parts manufacturers aren't doing their homework. The wiring harnesses are
oriented, after all.)
I'm not burning with desire to take the door panel off again, and (I'm guessing) cut the wires in the wiring harness and switch them (including soldering and heatshrink wrap), at this juncture.