You most certainly can apply for government grants to start a business in any province provided you meet the criteria that applies to that specific province. The Canadian government grants and loans program for small business is available on both the provincial and federal level. Therefore if you were thinking of looking for government grants to start a business in a specific province then you would want to see what that government for the provincial level has in place.
You can also take advantage of the Small Business Startup Assessment Tool below and see the tools and resources you need to succeed at launching your business. It takes just a minute and will also tell you if there may be any funding programs available.