I’d check with some local electricians first before you do anything. A fast charging station is a fairly considerable load, and they might not go near anything you did yourself and can’t show permits and inspections for.

I would think by code, and since it’s the right thing to do, you really want a sub-panel in the carport. Also, if you can, make it a 20-amp circuit for the lights, etc. You never know when you want to run a leaf blower or vacuum out your car.