You need to provide some information for people to work with. Things like
your version of Outlook, type of mail account, O/S, whether or not you're
fully patched. Then someone can take a look to determine if what you're
asking can be done.
Rules operate on e-mail messages. When you get messages, the rules are
exercised against them. When you send messages, any outbound rules you
defined are exercised against those outbound messages. If you aren't
sending or receiving e-mails then rules don't apply. There would be no
point to schedule the execution of a rule when it has nothing on which
to exercise itself. Rules are trigger by the *event* of receiving or
sending an e-mail.
Since you never divulged WHAT you are trying to do, no one but you
knows. Vague questions result in unfocused responses.
Create a normal rule that checks the header of a received email to see if it contains "Mon" for Monday, and/or "Tue" for Tuesday (you get the idea), and have the server reply with your out of office message.