The cabinet has laminate on it and if patch it with bondo will I still be able to sand down the cabinet and paint it and possibly not see any seams?
Yes, the laminate is sandable and will take paint once sanded. Use a heavy grit (60-80) and sand all of the color off it so that only a light brown "backing" is left. Use a spray primer, and then you can paint over that however you want. You're going to want a belt sander (prefferable) or a random orbit sander. Regular orbital sanders will do the trick but are much slower. Don't bother to hand sand it unless you are in it for a good workout.
Make sure you sand any texture off the laminate. Otherwise there will be a noticeable texture difference between your patch (which will be smooth) and the rest of the cabinet which has a slight texture (unless it's a gloss laminate).
Getting into the corners is also going to be tough unless you hand sand or have a specialized corner sander. Regular sanders either can't get all the way into the corner, or end up buggering up the side you don't want to sand. Putting on masking tape helps, but it's not foolproof.
I do recommend that you first try to find a dummy bill changer or door before you patch and paint. That's a much simpler cover up and will take a fraction of the time and will probably be about the same amount of money when all is said and done.