French Broad River, at Seven Island Wildlife Refuge question.

Hi all I just read the article "French Broad River in Tennessee " https://paddling.com/paddle/trips/french-broad-river-tennessee-1/?lat=35.9564&lng=-83.7102&zoom=13
I’m thinking of kayaking around the 7 Island birding area mentioned in the article, putting in at the parks launch and just going around the islands and the turning back. I was wondering is the current is slow enough to paddle upstream.

Thanks