Vertebrates and invertebrates exist for a start.https://en.wikipedia.org/wiki/Jaw
If you go the scientific route, based upon what we know today-
No- it wouldn't make sense; because in nature there's hardly even two arthropods that possess similar mandibles. https://en.wikipedia.org/wiki/Mandible_(arthropod_mouthpart
So even if you want to make the argument that the mandibles make sense because they evolved on the same world-
Fair enough, but then just like animals on Earth you'd also have to concede then logically the mandibles would look completely different;
because both would utilize them in completely different ways- as arthropods do, or even mammals.
They would absolutely not look nearly identical as the last two artworks show.