I have produced one repair panel for an out of sight area near the filler neck on my MK2 Golf. Lots of odd double curvatures etc. It took forever to make something that would just fit, with looking pretty being way down the list. I’ve also done a bit of painting.
From that experience, I’d say that if you don’t bash bits of metal for a living, attempting anything beyond the very basics is extremely ambitious. Most of the body panels for something like a Caterham would be within the realms of an enthusiastic DIYer, as long as you have a framework / wooden former. That’s because they’re mainly flat sheets with a couple of bends.
The sort of stuff you’re thinking of is serious craftsman made stuff, and they’re not easy for craftsmen to make. There are double curvatures all over those bodies, and they’ll be made of several parts welded together, with the welds then planished or ground down. I reckon it would be an extremely frustrating process, particularly when you get it painted or polished up and notice all the flaws that you couldn’t see in the metal.
If you want an idea of how much work goes into those kinds of bodies, I believe there’s a Polish firm manufacturing Aluminium replica Cobra bodies with prices online. Consider what Polish labour rates are likely to be and there are serious hours in those bodies. And that’s people who know what they’re doing, not someone learning on the job.