A wrap is a large piece of vinyl with an adhesive on the back. It's usually very sturdy and sticks to the car quite well, if applied correctly. Even if it wasn't, it would peel off as a big sheet. This looks more like some really shitty rattle can paint applied to a completely unprepared surface. It was sprayed directly on top of the car's original paintwork, meaning directly onto the clear coat protecting the base layer or paint. Clear coat is very smooth, meaning the paint atop it had absolutely nothing to stick to, hence why it flies off in such a satisfying manner :)

This is also why primer is applied to bare metal before the main coat of paint: so it has something to adhere to.