Yes. An application can be refused at the federal processing stage for a variety of reasons. The decision to refuse an application at the federal level can be based on criminal background checks, or on the results of medical examinations. An application may also be refused if the federal immigration authorities have reason to believe any of the applicant's claims on their application are untrue, or if the authorities doubt the candidate's intention to reside in Quebec. If you have any concerns regarding criminal or medical inadmissibility to Canada, please contact us.