Won't make it that way. First of all, when you renew your passport, it would be clipped or stamped. Consider you are from 3rd world country and you can "talk" with your embassy not to do anything on your old passport (almost no embassy will do that for you, otherwise you are the president's son/daughter), still you will need your PR card as a visa when you return to Canada. All developed countries that don't require a visa to enter Canada, will 100% clip or stamp your passport.
Then CIC can check your travel record by name and dob only or PR card number, they don't need your passport number.
Unless you are a real ninja, having renewed passports with different names. But even if you are, better swim out of Canada and swim back.