Ice maker not producing any ice

Question

My ice maker is not producing any ice at all. I had a technician come out and he told me that he thought water was frozen in the line and to unplug the refrigerator and leave the freezer door open for at least 24 hours and then see if it worked. It didn't. I don't understand why there is no water in the ice tray at least. It seems that if the ice maker was broken I'd at least see water/ice in the ice tray. The tech did mention that one of the prongs in the ice maker was broken and that we probably needed a new ice maker. He said that the one remaining prong would probably not last long. Is it possible that the ice maker is broken and I just need to replace it? And if so, where does the water go inside the ice maker to make the ice. Can I just not see it but it's there?