Is this possible? I would like to have a website nonsearchable by search engines except for one word. For example, say the word I am using is America - so someone enters that word in google - The site pops up on a search page, but someone enters American and it wouldn't show up. Hope I've explained it correctly.

Not that I am aware of. Wouldn't you want your site to come up as much as possible on the search engines?

I would only want it to come up on a search engine if the one particular word was searched. I would not want it to come up on a search engine for any other word or words. I think search engines can possibly hurt local sites where national or international traffic is not wanted.