Yes.
I believe that it depends on the design of the hinge. With modern safes where the hinge pin is adjustable with a screw it rides on the hinge pin, but I do see also modern cheap safes, where the hinge is only the guide. I think there are a lot of designs out there.
More questions: Does the door ride only on the bottom? Only on the top? On all? I have a safe which has an adjustable hinge pin only on the bottom and I have one which has all three hinge pins adjustable.
PS: Is the hinge pin in the door or in the body, top or bottom? Adjustable hinge pins often have a securing grub screw. Some have bearing balls on top of the hinge pin. Very, very few have grease nipples to inject grease to the hinge pin. Proper maintenance guidelines for hinges without a grease nipple would be very interesting. I can find from manufacturers only instructions to put oil into the gap. Is this good procedure?