Possible to appear "offline" but still use chat?

Wed Apr 20 16:56:09 EDT 2011

I just downloaded Pidgin 2.7.11 and want to use it to chat with a colleague
of mine.  We both have Gmail accounts so I figured we'd use the Google Talk
account.  While we are online and communicating, is it possible to appear as
"offline" to everyone else?  You know how Gmail has the built in Chat
feature and if your "friends" are online it displays their status.  Well, we
don't want to appear online to anyone other than one another.

Is it possible to set that up so to anyone else we appear offline, but our
chats with one another are unaffected?

Thanks in advance!

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