Yes, there are differences between the various regions of the country. The main differences are in the cost of housing. The inflation rate does indeed vary with the large cities in the country. When there is a migration to other regions, there has to be a period of adjustment. For example, in Toronto, the cost of housing is going up more quickly than in Calgary. The two inflation rates differ during the adjustment period, reflecting the real cost of living in those cities.
For the most part, the indices seem to be the same for the products traded across the country. As I often say, the differences are in housing and haircuts.
But the other things are very interchangeable.