Even if you had credit, that is not really recommended for luxury items like pinball machines. The prudent thing is to save your credit for important housing expenses and emergencies.
Once you get your finances under control, you should consider dialing down your expectations. There are some great early solid state games. Learn about repair as well...most likely the most affordable pins are going to be those in need of repair. The caution here is biting off more than you can chew: parts and tools can add up quick. If you don't take the proper care to become educated about the inner workings your economical project pin could turn into a money pit.