Hi Arsoul, I think I know where you're coming from. Before doing a Computer Game related degree at a well known university I studied Computing & IT. The Computer Game related degree had more complex programming as well as learning other new skills. Going to do a Computer Game related qualification is good because you get to study with like minded individuals in a focused environment but it all depends if you can afford it or not. After university there are Student Loans and such to worry about.
Like Avalander says you can teach yourself from the internet; either that or books. Sometimes it may be best to work with what you've got and develop a portfolio in your own time if possible.
All that aside a Computer Game related course can help you get on your way to learning what you need but making some demo programs and putting them on a site is a good way to get noticed. There are also various expos and such you can showcase work if you feel confident enough to show off your work when ready.
Most importantly you should get a grasp on the programming/scripting language(s) you wish to develop games in.
Hope that helps.