I was about the same age when my mom got my finger in the car door. We were getting ice cream and my dad sent be from the window of the shop to go deliver moms to her. The door closed on it, but thankfully didn’t lock. I just had to knock on the door with my other hand (she was inside) to get her to open it.

Very painful but no permanent injury.

Ever since, when I’ve been in a similar situation, I either pass through the open window or I actually step into the swing path of the door.