Yes, I have removed the radiator with grille in place on my '35 Fordor after removing generator, water pumps and distributor. The last step required "gently" pulling/prying up on top of grille enough to allow top of radiator to come back so it could be lifted out. I found this to be less work than completely removing the grille and then trying to put it back in and line every thing up again. Patience and care are your friends.