It's only happened once in history that we know of, but a tsunami did once travel up the Mississippi River in Missouri and by the time it was done, 30 boats were no more.
As with all large bodies of water, some crazy things are known to happen. Obviously, in the oceans, lunar movements, and gravitational pull affect the high and low tides. We discussed if this was something that happens with the Great Lakes before.
The fact that the Mississippi River ran backwards after the massive New Madrid earthquake of 1811 is now the stuff of legend, but did you know that it's run backwards at least twice since? It's strange, but true and had nothing to do with earthquakes either.