Possibly yes, but only if it was one that was understood. In the Helios example, the crew received a presurization warning a few minutes before reaching cruising altitude, but the warning itself didn't make any sense because of the context (if memory serves, it was a pre-flight warning that had no business going off while the plane was in flight, and the master caution that occured right afterwards further muddled the situation), and the plane was acting normally for that portion of the flight. If the pilots, both of which had thousands of logged hours, got a warning that was misinterpreted or plain ludicrous for the situation, they may not have recognized what was happening until it was too late.