Depends on whether it's above or below ground level.
There's a community near me that has a lot of homes built like that. You enter, and you've got a family room, maybe a bedroom or two, a bathroom, and storage. You see stairs leading up, and that's where the kitchen, most of the bedrooms, living room, etc., are. In those cases, no, the main entry level is not considered a basement. It's just considered a 2-story house, with the kitchen, living room, etc., on the upper level.
Now, maybe customs vary in other parts of the country, so I can't speak for Ohio. But where I am, no, it wouldn't be considered a basement.