Well, I think we can all agree that it's possible for a non-conscious person (or program or whatever) to be mistaken for a conscious being.

However, there are several objections I can make to this scenario being considered a counterexample:

(1) How do you know you're not conscious? Just because you don't remember it the next day doesn't mean you don't have any awareness at the time.

(2) In the Turing test the judge is supposed to be 'on the look-out' for which of its two subjects seems less able to respond adequately to their questions. And one of the subjects is presumed to be a healthy, sober human. So unless you think the judge would be unable to distinguish a drunken, unconscious conversation from a normal, sober one, you would presumably fail the Turing test.