No, I've never heard of something like that in Cajun cuisine.
The only thing it made me think of is an Alsatian dish called Choucroute garnie. But it consists of sauerkraut, sausage, and pork. It's not a fresh, dressed cabbage like you seem to be describing.
But I've never heard of people making Cajun Choucroute anyway. Though, that could be something I should try out.