Nope - just the standard Free Friday Nook Book. It's luck of the draw on whether that one is family-friendly or not. (I read the reviews before I download it; while I'm willing to try out new genres and authors when it's free, I've found some that I won't download because they're reviewed as having a lot of bad language or explicit sex scenes.)
I agree that B&N ought to have a separate free Nook Book setup for kids/families. I'd really like that.