No, you cannot freeze hard-boiled eggs in their shell. So, before you freeze your hard-boiled eggs you should always remove the shell. But this isn’t the only thing that you should remove. While eggs can be frozen, egg whites do not freeze well. Once they have been in the freezer, egg whites develop a horrible texture like hard rubber which is very unpleasant to eat.
So, once you have removed the shell from your hard-boiled egg ready for freezing, you should also remove the egg white. This might seem like a difficult task, but all you need to do is scoop the egg yolk out using a slotted spoon and put it to one side. The egg yolk will be perfectly fine to freeze, but not the egg white. So when you are packing up your eggs for the freezer, make sure that none of the egg whites sneak into the bag.