Yeah. One danger for life is the star cooking it. But the other is that the solar wind will tend to strip away a planets hydrogen if life doesn't develop photosynthesis to give the planet an ozone layer fast enough. It took life on Earth most of a billion years[1] fooling around with chemosynthesis before photosynthesis took off. It's a hard step and life around a red dwarf would be on a much more stringent timeframe than life on our planet was.

[1]http://hopefullyintersting.blogspot.com/2018/03/the-drake-eq...