The problem may not be with the ice maker itself but with the door. The water lines may freeze within the door causing the ice maker or water in the door feature to fail. This is a known issue on a few models. Google it for yourselves.
You can open door and thaw it out with a hair dryer. PLace towel over freezer area to keep cold from escaping while door is open.Things may work for awhile but the fix is often only temporary.
The tech is not pulling the OP's leg he needs a new door.
I imagine rather than buy just a door it's time to buy a new fridge or do without ice.