You can.
https://www.dmv.virginia.gov/sites/default/files/forms/med20.pdf
My wife and I have had them on our cars for 25+ years. The cool thing is that you can add vehicles without having to get a new doctors signature each time. In fact if needed you can add vehicles that you don’t even own that you regularly ride in such as a vanpool vehicle, church shuttle or grandparents car etc. However whenever a vehicle is sold or traded you’re supposedly to have the darker than normally allowed tint removed.
It allows you to go a little darker. I have 35% on my four doors and rear window of my sedan and 70% on the windshield our SUV has 35% in the front door windows clear UV blocking film in the windshield and 20% on top of the factory dark tint on all the back glass.
I’ve only been pulled over once to tint and that was when I had a vehicle with a dark colored interior. Had 35% on its front door windows, back windows were 20% on top of the factory dark tint (Ford pick up, SUVs and multipurpose vehicles with a waiver have no limit on how dark the back can be) and he pulled me over in the fall of year with the sun sort of hangs at the horizon a bit making your windows look much darker than they really are. I was pulled over by a Prince William Co FTO police officer which had a trainee with him. The FTO didn’t know that the tint waiver even existed. The cool thing is that DMV sends you a new registration card which reads “sunshading” on the bottom corner. Learning occurred that day for him and his trainee and he wasn’t a jerk about it at all (he actually broke out his VA code book and looked).