Absolutely. The Euro is Deutschemark lite. In effect, the Deutschemark was slightly inflated and the Eurozone adopted it. A fiscal mess up by (for example) Italy, or the admission to EU membership for political reasons of (for example) Poland could devalue it.
A more likely scenario for the Euro devaluation is some major member pulling out over economic regulations not directly related to the currency. Like Brussels trying to dictate the composition of German sausages or French wines. Hell, they even regulate stuff like the shape of bananas, but that doesn't directly impact one member over another.