Yes. Definitely. there is a kind of glue--as one lady said, maybe it is called "gorilla glue" that actually melds the pieces back together. Or maybe it is acetone....
On you tube, check out gluing acrylic. It is really a lot easier than I knew.
I had a foot break on my embroidery machine. At the time we had a visitor and he said, "I can fix that" (after I had ordered a new one). And he proceeded to do so. It is fine. Now I have the new one and the old one.