No, the RCMP does not have a list that we share with countries. The RCMP maintains the criminal record repository for Canada on behalf of the Canadian law enforcement community. There are agreements and arrangements, either through Interpol or with the United States, for instance, and with other domestic federal or municipal law enforcement agencies where they can access this repository to check to see if people have criminal records.
On March 21st, 2013. See this statement in context.