Definitely possible, as said, but tricky because it's such small work. You need to get replacement pads (probably easier than removing and trying to reuse the ones on it) soldered to the existing traces - probably copper foil for the pad, then scraping away a bit of the solder mask and solder bridging them to the pads - then you need a reliable adhesive to attach the switch and hold it in place. Ideally, you want it to be stronger than it was before, since it already broke once, but you can't rely on the adhesion of the new pads to do as good a job as the factory ones, so some extra glue around it or in the board cutout would help to fix it.
Again, though, it's probably going to take some time spent under a microscope/jeweler's loupe with a sharp knife and a bunch of patience. The hard part is actually doing it because of the size.