Hi
You'll never know if you don't try. Call CIC and ask them if it's a possibility. You'd need to be accepted at a school and have the funds to pay your tuition and living expenses and you'd also need to convince them that you will leave Canada when your studies are completed.
S/he can't apply in Canada, but can get a study permit at a Border Point on re-entering Canada. The OP should look at the cost, and would require a minimum of $10K for living expenses as proof of funds.
PMM