If I have a student Line of Credit with BMO (so it's not a provincial/ federal program), can I still claim the interest paid?

No. You can only claim an amount for the interest paid on your student loan in the tax year or the preceding 5 years for post-secondary education if you received it under:

• the Canada Student Loans Act
• the Canada Student Financial Assistance Act
• the Apprentice Loans Act
• provincial or territorial government laws similar to the acts above