Yes
The pool used to store spent fuel awaiting reprocessing at La Hague is situated, like the reactor pool itself, inside the reactor containment; its design constraints (resistance to various stresses and possible damage) are exactly the same as those for the reactor pool.
As of the 242nd day after reactor shutdown, a spent fuel element can be cooled properly using only air. As the ILL operates a maximum of four 50-day cycles per year, it therefore produces four spent elements (cores) per year, of which no more than three can have a cooling period (the time that has elapsed since they stopped being used) of less than 242 days. The other fuel elements in interim storage in the pool have all been cooling for over 242 days and can therefore perfectly withstand dry conditions without being damaged or releasing their remaining radioactivity.
The consequences of a total loss of water in the storage pool, an event classed as a “residual” risk, are lower than those of the worst-case accident scenario included in the reactor design basis, namely "a core meltdown in air".