Short Answer: No
Citizenship is federal. Your province doesn't affect citizenship eligibility or process. Whether you live in BC or Ontario: same requirements, same test, same fees.
What Varies by Province
Provincial benefits (healthcare details, education), residency recognition (some count time differently). But citizenship application itself: identical across Canada.
Provincial Tests
Citizenship test is federal English/French. You don't get a 'Quebec citizenship test.' Same for all provinces.