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I don't believe so, but check my list in the third post of the DHP page. It lists all the mons that have more than 5% usage in the 3-month stats... as I recall, Latias was on it, so it would be ineligible.
As the OP and my post on page three say, you have 5 days from the start of the round to complete your match, if you do not it will be decided by a coin flip.
I'm available on showdown for the next 25+ minutes, so just chall if you are available. If not, yeah videogames.
I can play tomorrow at the time of your post.