That’s correct. It is to the extent that an Attorney General authorizes it. In the case of Quebec, that would be the Director of Criminal and Penal Prosecutions.
That said, we must be very careful and understand exactly what we mean when we talk about private complaints. When a citizen goes to the police station to file a complaint, it is first handled by the police and then by a prosecutor. Private complaints refer to a kind of parallel system that allows a citizen, despite the refusal of the police and the prosecutor to pursue their complaint, to continue the process and present it directly to a justice of the peace. This situation is not possible when there is a requirement for prior consent from the Attorney General.