Most wrap is pre-cut from a template manufacturers provide install shops and they have a machine that cuts the correct pieces, so no you don't have to remove any bodywork to get it installed.
There's also the custom cut route where the installer cuts all the pieces by hand so as to be able to tuck them perfectly under all the body panels and wrap every mm of the car. For that they will often remove headlights, door handles, and other bodywork to wrap the harder to get to spots. This process is super expensive and also highly dependent to the skill of the installer, not only to get it to look right but also because x-acto knives and paint aren't buddies, and it's not a rare thing that repainting is the result of installer error.
The pre-cut is all you really need for a truck like this, unless you want to drop $10k on a wrap to not see a few seams at the edges. And that can mostly be resolved by the installer 'over plotting' the cut, meaning that they tell the cutting machine to add a few mm to each piece so as to get more coverage and more tuck. The only downside of it is if you have a white vehicle, and that's because dirt gets trapped at the seams and over time they become more visible, and there's no way to clean that away.