Does it harm a eucalyptus to peel off the bark?

Yes let it peel off of it's own accord, let nature take it's course.
Don't worry about being too tidy.

Do you mean the bark is peeling Treefan, or you want to peel off the bark yourself? Sorry if I sound confused.

John.

Why peel off the bark ?,it will, as Doctorbob said ,come off naturally when it is ready to shed.

God. Nobody appreciates sarcasm anymore. LOL.