As I noted in another thread here, earlier today, it’s happened three times:
All of them were division winners, in weak divisions, in the past 12 years. As @RickJay pointed out in the other thread, now that all of the divisions only have four teams (before 2002, most or all of the divisions were five teams), it’s become more likely.
I don’t think (but I’m not positive) that any team has ever qualified for a wild card berth with a losing record.
It certainly seems possible that we’ll see it in the NFC South this year.