Don't worry buddy. If your name has some issues as per their criminal record procedures they will ask for RCMP fingerprinting. I have been asked because my passport has the Surname field as Blank. So when they check across their database they find a lot of people who have their surname as blank, so just to make sure that I am not having a criminal background they request to RCMP for doing a fingerprint check to be on the safe side.
So if you have your name and surname in order in your passport there shouldn't be an issue. In case they ask and even if you are out of the country, you can do RCMP fingerprinting from current country. RCMP directly sends the results to CIC if you need.
Providing Canadian police certificates are not required. It is mentioned in all the documents. RCMP fingerprinting is a special requirement for special people