They are ball and socket joint? I would have to assume so as I haven't had that happen to mone, but in theory should work for all ball joint parts. Just remember to let a coat dry before you add another and before you put it back on together. Careful not to do too many coats in case it puts stress on the socket. Some people use super glue but I don't want to run the risk of it reacting with the plastic.
By no means is this a permanent fix, but it adds rigidity that has been lost over time due to wear on the joint.