I often see people having their own South Park characters as their profile pic, but can you make them or what?

you can make a character there.
Would you tell Picasso to sell his guitars?
Quote by metaldud536
You can't simply make them. You MUST give birth to them.

One does not simply walk into southparkstudios.com...
I think the whole make-yourself-into-a-South-Park character is overrated.