In reply to:

If you can verb an noun, can you noun a verb? I can't think of any examples.

There is a whole class of words of the form verb-prep (actually separated prefix but that's a whole nother question) such as takeoff, giveaway etc. I have a list I collected somewhere but can't seem to find it right quick. This is common in both English and Spanish (where it manifests itself as verb-noun, e.g. guardacostas for Coast Guard).