@KoiwiGal - Well, yes and no. There are some hairdressing schools out there that are fairly exclusive. I think you can't get into them unless you've completed and done really well on a beginner course in hair dressing, and having good grades in high school probably helps as well.
Many of them offer courses for the average person who just wants a few tips on how to keep their hair looking nice between salon visits as well, so you can get a taster and see if you're any good at hair styling.
I would look at where top stylists studied and did their apprenticeships to get an idea of where to apply to if you are looking to get into the best places.