Yeah, I mean they've got great whites, the most venomous snakes, jellyfish and octopi that can kill you in a matter of minutes, dingos that steal your children, magpies that chase you into traffic, kangaroos that can kick you so hard you go into a coma and also damage your car like deer except on purpose, and a whole lot more.
The most dangerous thing Ohio has running for it is literally the f**king deer that stand in your headlights, which is a problem for people anywhere.
So, no, Ohio is not dangerous. It's only dangerous if you decide to do stuff like walk in tall grass, drive recklessly at night, etc.