Ice is just water that is frozen and so no ice cannot go bad in the freezer.
The only thing that would happen is the ice could thaw out if the freezer shut off or the ice could absorb other food odors.
But the ice will not go bad because there's no way for the ice to go bad or spoil.
Ice can remain in the freezer for many years and could remain in the freezer for thousands of years but your freezer would go bad before the ice stayed in the freezer that long.
You can keep ice frozen in the freezer for as long as you want too keep ice for.