No, but you could do a work around that would have the same effect. Remove
the 'inbox' from the favorite's folder. Then create a new folder called 'My
Glorious Company Name Inbox' or whatever. Then add it to your favorite
folder and create a rule that will automatically move every new email to
that folder.
Depending on the PC-Genius level of the people you work with they probably
won't ever know the difference and you will be the office "smart computer
guy." Be sure to use that to your advantage with the ladies.