Is there a way to have a search box for just one page

Hi guys I have a mobile website that will be just one home page with about 50 accordians of information about lawyers in certain cities. I want to have a search box at the top of the page, but I want it to be able and to search and list the accordians that contain what they wanted in the search. I have researched it to death and I am starting to think it cant be done. Anybody got any ideas for me???