While you can certainly leave Canada once you appeal, it's not a particularly good idea to do it for extended period or multiple times while you are being reviewed for RO. It shows you have little intent to settle in Canada.
You have made some choices that are going to be difficult to overcome. You can't have everything (PR, work permit, etc) and expect to remain here. If you are reported and loose your appeal, you will have to leave Canada within 30 days. If you want to continue working here you will have to apply through one of the streams available to every other non resident from outside Canada and take your chances. It was your choice not to fulfill the RO, and these are the consequences.