Yes, it could be that one of the drivers has failed, or it could be a bad connection to one of the drivers. You would still get sound from it in the cabinet even if it is not actually working, as the back pressure from the other woofer would cause it to move back and forth, even if it were disconnected completely. If it is not in warranty anymore, and if you are handy, you might want to remove the right woofer and hook it up directly to your receiver, and see if you get sound from it. (If either it is in warranty, or you are not handy, do not remove the woofer, and just take the center speaker to an authorized service center.)
Obviously, when connecting or disconnecting anything, the power should be off to it all, and with the woofer out on its own, the volume should be kept low.
If you don't get any sound out of it, but do with another speaker (either whole or just an individual driver), then your driver is bad and should be replaced. If you do get sound from it, reinstall it in its cabinet, and make sure all the connections are good. If you still have the problem at that point, remove both woofers and switch which one is on the right and which is on the left. If the problem switches sides, then there is a problem with the woofer, though it is still functioning (you replaced it with a new one if it did not work when out on its own). If the problem does not switch sides, there is a problem in the crossover, most likely a bad connection.
But before going on, let us know what the results are of this testing and examination so far.