The trouble is, that graduate wouldn't be much more worthwhile than a fresh high-school grad. Taking a few welding courses won't make you employable for most jobs, it takes quite a lot of time to build up that skill. And while a bit of knowledge of other trades is always a good thing, it takes more than a few classes to prepare someone to work in HVAC. While the liberal-arts model of small amounts of exposure to different fields is good, more specialization and focus is needed.
For instance, I'm glad I took some economics classes in school, but in no way am I prepared to work in that field.