We move every couple of years for my H’s job and rent because of that. Our last home had a refrigerator with an in-door ice/water dispenser. The water worked but the ice did not. I submitted a maintenance ticket and they tried to fix the ice maker. They finally determined that the issue was wiring inside the door itself and it couldn’t be fixed without replacing the door. The refrigerator was older and parts were no longer available.
I asked the rental company if they would provide a new refrigerator with a working ice maker, and they said if they purchased a new refrigerator, it WOULDN’T include an ice maker. Not sure how cheap a refrigerator has to be to not have an ice maker; the rental was advertised as an “executive home”.
Long story short, I made ice cubes every day in an ice cube tray for the almost 3 years we lived there.
I purchased an ice making device (kind that plugs in and sits on your counter) and did use it some times, but it was easier to use the trays.
Long answer to say it’s possible to have the water working and not the ice. A repair person could tell you if it can be repaired (for a price, of course).
I moved to a new state in June, new home rental, and am so excited I have a refrigerator that makes ice! I work from home and drink water all day, and ice is something I use every day.