Not exactly FF miles, but close: many airlines have small business programs where a business gets credit when its employees fly, over and above the miles those employees earn in their individual accounts (if any). Awards in these programs overlap the kinds of awards you can earn with miles: flights, lounge access, sometimes giving a designated employee elite status. If it's not too late, you might be able to sign up your "business," with yourself as its program coordinator (who gets to give out awards), and have group members fly as "employees." AA, at least, doesn't check company IDs.