The way these screens are designed they just clip in on the side. They have two screws at the bottom and that’s it. As long as the top portion of the screen is still sitting correctly, it’s possible with a little force, you could get the screen to pop back into place. If you are able to just push the screen back into place, you shouldn’t need to press on the sides very hard.
If you do this correctly, you should hear a pop sound as the screen sits back into place. If you are timed about pressing on your screen, a local repair shop should be able to get the screen back into place. The only thing that would keep the screen from sitting back in place is if it’s separating from the plastic bezel around the screen.