Yes you should be able to. Just don't put any address information finer than county level.
Example: Douglas County, KS.
Do note that it will most likely put every point that has the same county in the center of the county and on top of each other.
Than you for your reply Steven but I am still not getting the option for "County". I have stripped out the City info and now the data I am trying to upload has 3 columns (County, State, Value). When I select United States as the country it automatically selects "World" instead and I get the following options:
Many thanks in advance
Because this is a world geocoding service, county is probably referred to as Region or SubRegion in the geocoder. I can't find the help document for the service. If I find it, I will post it.