No, I don't think so. Kicking Greece out would be stating and making a precedence that any Union country can be kicked out. Greece would have to withdraw, but either way you look at it, it would be a failure of the currency union and the Union. We clean up the mess and reform the economic policies of the Union and necessary institutions. The states will have to give up some economic sovereignty here.
This can't be allowed to happen again and the honor system clearly doesn't work. But in a way I think the Greek problem is somewhat exaggerated, or misplaced. The Greek economy is very small in the EU. I believe the problem is the effect it has on the Union project and the Euro. It's a bigger picture and it has to do with the credibility of the currency and the Union overall. We have to reform and we need to give up economic sovereignty for it too work. It all puts the Union in a difficult position but a situation we would have encountered sooner or later anyway.
If nothing is done, something like this or of a similar magnitude would happen again that would damage the perceived viability of the project.
Clean up, slap some faces and reform. The last one will be very difficult.