You absolutely can slap a Lambo body on anything (provided it fits) and there is a literal cottage industry that exists around doing so. It’s not popular because, let’s be honest, it’s pretty silly, and everyone involved acknowledges its pretty much just for fun and entertainment.

There used to be one or two pretty popular versions of this though; not an exact copy but just a sporty chassis on top of a ubiquitous and cheap model, like the Karman Ghia on top of the VW Beetle.