Yes, you will be asked for additional info, status related and 10 years traceable history back home, since you won't have Canadian one, but other than that, no problem.
My company has applied for myself, Level II - Secret, with the federal government, and I already hold a Site Access Security Clearance, from CNSC (Canadian Nuclear Safety Commission), for a major provincial agency.
They will do all the necessary checks, RCMP, CSIS, CPIC.