C's switch/case is essentially a special case with a limited set of values (literals) and no destructuring. You can extend it to less trivial patterns and blam pattern matching.
No, switch is not like a special case of match. C's switch is a kind of computed goto and can build irreducible control flow graphs. match is a reducible structured control-flow construct whose power comes from destructuring. match is much, much more like an if-else chain than a switch.