That being said, as someone with a software engineering degree, I can safely say that most companies don't need engineers and can get by just fine with programmers. Anyway, in this industry there are many architects working as handymen and vice versa.
Probably not, unless they used to actually do construction before becoming an architect.
> Can an architect actually put the pieces together?
Unclear what this means, but architects have plenty of training in doing "manual work". Building models requires a lot more precision than most things in construction.
> Do they know where to source materials?
That's part of their job description.
> Do they understand how to order and schedule the construction of a design?
Definitely part of their job description.
I have about a half-dozen friends as architects in the US, and only 1 of them could do any of the things I mentioned. All have been practising residential and commercial and government architects for > 30 years.