It is very possible to do. The biggest challenge you will find is that the GI on a pinball machine is 6.3V AC. Most of the LEDs there are 12V DC or 24V DC.

There is 12VDC available in most machines but it may not be enough if you are planning on a lot of lights and it may not be in the location you want it. the best solution is to add a 12V DC power supply to the bottom of the cab.

ebay.com link: 12V 5A 60W Power Supply AC to DC Adapter for 5050 3528 Flexible LED Strip Light

Something like that works or you can hit your local thrift stores to see what you can find.

I wire them in after the switch and before the transformer so that they have clean AC and turn off with the machine.