You can go off and just buy the kit if you want to die I guess...
I ended up taking a class on airframe construction from a licensed A&P and probably spent several hundred hours doing research at this point.
Engines can be anywhere from a 10k run-out old Lycoming or a $40k+ brand new IO-540 in a crate.
On the issue of "spoiled kids" there are a bunch of schools in the US that do a similar build project (typically an RV-14 LSA). It's not uncommon for more vocationally oriented high schools.