I disagree wtih Ravneet's advice. Once you apply for immigration theres a good chance your student visa may get denied.
That said, I know lots of people that have come to Canada on a student visa, and applied for immigration while IN Canada (without overstaying of course).
Apply soon, you should have it by Jan 30 no problem. If you want to apply for immigration, do it after you get your student visa. Enjoy Canada