[Update Oct 2, 2013] we have heard mixed reports today.  One person tried to hand-file and was turned away.  Another says they were able to hand-file today without a problem.  Will continue to post updates as we hear them.
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Yesterday, we were told that the Board would not be staffed today and that hand filing would not be an option.  It looks like, at least for now, that is not the case.  Ben Winograd of the Immigrant and Refugee Appellate Center (one of the same-day filing services we use) posted this picture this morning:

So, for now at least, you can still use same-day filing services to get your Notices of Appeal and Briefs filed with the Board.