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Yes, but be aware that the white chocolate or white confectionery shell will attract moisture from the refrigerator and may become sticky or wet.
To store them in the chill box, wrap each pop well in plastic wrap then place them in zip-top bags. Then place them in a cardboard shipping box before placing them in the refrigerator. The box will wick up most of the moisture.
To thaw the cakesicles, remove the box and remove the zip-top bag. Allow the bag of cakesicles to sit, unopened for at least one hour to allow the cake pops to come to room temperature. This will keep them from cracking due to the temperature change. Then remove and unwrap each cakesicle.
