No, ice does not melt faster in a freezer than water. In fact, a freezer is specifically designed to keep things cold and prevent them from melting. When you place ice in a freezer, it will remain in a solid state and not melt as long as the temperature inside the freezer is below the freezing point of water, which is 0 degrees Celsius (32 degrees Fahrenheit).
If you place ice in a freezer that is set to a temperature above the freezing point of water, the ice will slowly melt over time. However, this melting process will generally be slower than if you were to place the ice at room temperature or in a warmer environment.
It's worth noting that the rate of melting can also depend on factors such as the temperature inside the freezer, the insulation of the container holding the ice, and the amount of time the ice is left in the freezer.