Yes, his species is supposed to be, but, on the other hand, the species of Petrie, Mama Flyer, and Pterano is supposed to be too, but they aren't in the films.
Also, as all Sharpteeth, minus Chomper, have shown an attempt to eat the characters, and we're not even sure about Chomper even, the fact that he'd not try (though maybe he did with Ducky) is odd.
Also, let's not forget, Chomper was the only Sharptooth that is allowed in the Great Valley and Sierra flew right into the crowd of Far Walkers right in plain sight and nobody shooed him off.
Also, if Sierra is a Sharptooth flyer, can it be implied that all Sharptooth flyers can speak Leaf Eater (or at least most of them) as he'd make the second (or possibly third if Rinkus is one too) and Ichy would be the first?
Yeah, Sierra has teeth, but so does Littlefoot. Also, Ovirapors aren't supposed to have teeth, yet Ruby does in a few scenes. Perhaps Sierra's teeth were an artistic mistake.
At any rate, unlike Ichy or the Pteradactylus in the fifth film, we have no concrete proof that either Rinkus or Sierra are Sharptooth Flyers.