You can get businesses making replicas in small numbers, for example, I am sure you could get a Lancia Stratos, however, would GM have a big copyright ban on such a venture?
Copyright law for art and sculpture requires registration of each design; in searching the copyright records it appears that GM doesn't do this. Really the more appropriate forum would be to get a design patent but those last for only 15 years anyway.
Trademarks must be registered (and also apply to specific categories, though a kit car and production car are in the same category). Surprisngly, "EV1" is owned not by GM, but by Kia (the graphic is different). What this means is you can make the (GM) EV1 logo no problem, and also sell a kit car as something like "inspired by the GM EV1" but if you sell it as an "EV1" then Kia might come knocking.
In short, I don't see much getting in the way of making an EV1 kit car as long as you don't advertise it as a literal GM or EV1 car. Though as stated, you can include or sell separately an EV1 badge that buyers can slap on their own property without issue.
Also, trademarks do not need to be registered to be enforced, although it is wise to register them.
(They make reproductions of 1967 and 1968 Mustangs)
For newer cars, you could probably register it as a self-built (kit car).
And while a big box insurance company might not insure a heavily modified vehicle, there are niche insurance companies who will. Or you could even self insure in a state that allows it.