You need to be on implied status till you do your landing. That means that even if you get your PPR today, you still have to consider the time it will take to send your passport to Ottawa, get it stamped, have it returned to you and do your landing. My guess is it will take you more than 2 weeks for that.
My advise, apply for an extension of your work permit now. The good news is that there is a 70-day delay for work permit processing so it is likely you will become PR before your work permit gets processed, which mean you can withdraw it (the work permit) and get a refund back.