Yes, they have several vegetarian choices. I can't tell you what they are but if you go to the El Moose website you can go through the menu and decide what sounds good.
There are quite a few different amazing vegetarian options! I doubt they are vegan but definitely vegetarian. I just had papas de rajas, which is potatoes, pablano peppers, and corn in a cream sauce with black beans. So delicious. A friend of mine got some sort of dish with masa cakes with plantains. Also delicious. The last time I came I also got a vegetarian dish and it was delicious. Their vegetarian dishes are definitely not afterthoughts but well thought out, delicious options!
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