Answer:
No, the COP of a refrigerator can be less than one or larger than one.
The statement is only true for a heat pump (COP>1)
Step-by-step explanation:
The COP is the Coeficient of Perfomance ir given by:

In a heat pump, because of the enthalpy the power consumed always will be lower than the heat produced, hence the coefficient will be always larger than one.
In a refrigerator, the idea is to cool the inside, so the desired out will be never higher than the power consumed.