Yes, though they don't have burning manes.

[Well, not unless something has going very very wrong.]

I haven't interacted with any ponyta yet, so I couldn't tell you how much their general demeanour matches that of horses, but they certainly look similar.

[Though Armin has a question of his own.]

What's a Lunar Whale? I don't think I'm familiar with that animal.

[Unless it is something they have back home as well, just under a different name.]