K&N does make a filter for the 06, 1.8L Civic motor. I would bet that it would fit our cars. Here is a link.
http://www.knfilters.com/news/news.aspx?ID=235
I would be afraid that the oil that is sprayed onto the filter would spray into the throttle body. I've heard of issues with Nissan owners who use oiled filters with air intakes and they had problems. But the issues may have been by the owners over sraying their filters with oil. I don't know.