Yes, there are only 3 exceptions to the requirement to list all job openings. Those are 1) Executive and senior management positions; 2) Positions that will be filled from within the contractor's organization for which no consideration will be given to persons outside the contractor's organization, including openings which the contractor proposes to fill from regularly established 'recall' lists and 3) Positions lasting three days or less. You can shorten the process though.
You can use this OFCCP audit checklist to ensure you're doing what is required to maintain OFCCP's regulations including VEVRAA, Section 503, and EO 11246. Or request a demo to streamline your compliance and recruiting efforts.