Carrie. Assuming that you are referring to a rope swing and not other some other fun recreational activity then yes. The local folks have put up a couple of rope swings on the river that many folks choose to use. Brian R Canoe Outpost Little Manatee River
It's about chest deep right at the dock but they don't recommend it because of possible alligators. But hey, it's Florida and gators are in most bodies of water.
There is a rope swing about 3 quarters of the way down the river if you wanted too.
You can swim in the river. Swing as well if you get to a rope swing.
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