All the news reports seem to parrot the official law enforcement statement, with no added detail whatsoever. Not helpful at all.
I doubt the water temperature in a Minnesota river is tropical, so a sit-upon kayak might get you wet and cold if you're unlucky and inadequately dressed.
On the other hand, having paddled one of the larger-sized sit-upon jobs, there's plenty of room to lash on a pack or dry bag containing all the essentials for an unexpected overnight.