Nope...made here...that's why there are less new episodes!
Actually, Trey and Matt are able to crank out a complete episode of South Park in a matter of days. It's all done on computers.
Remember the episode where Cartman played Bugs Bunny to Osama bin Laden's Elmer Fudd? That was just a couple weeks after 9-11.
They can go into a recording booth, and have the whole thing recorded in very short order, such is their talent.