No police clearance is required from Canada, whether you live here or not, when you submit your PR application. This information is easily available on the CIC website -
http://www.cic.gc.ca/english/information/security/police-cert/north-america/canada.asp
How to get a police certificate - Canada
"Do I need to provide a Police Certificate with my Application for Permanent Residence? No"
This is because CIC automatically conducts name-based searches of ALL applicants.
On occasion, one of these name-based checks will turn up a criminal history. That can happen if you have the same name as someone with a criminal record. Then, and only then, will CIC request a fingerprint-based RCMP check. But it is not required when you submit your application, and usually not required at all.