Nope. Localities are not allowed to pre-empt the state CCW law. Certain locations may, however, post no-CCW signs. Carrying in such a place is not a crime. At most, it is trespassing (they have to tell you to leave, and you may leave your piece in the car, and it is only an issue if you do not leave and the police must be called). In my experience, places that post such signs do not search visitors. Many places post signs in out-of-the-way locations, so you may not notice that CCW is not allowed until after you leave (that has happened to me several times). I have never been "made."
Just be careful if you plan to drive through IL. They are VERY hostile to firearms rights there, and IL police made a point of telling the media they would arrest anybody trying to CCW over there, or even having a loaded weapon in the passenger cabin of the vehicle. Just drive on through, obey the speed limits, and have a nice time in the wonderful state of MO.