There are. MOst manufacturers make fabric bags that mount to a BIG plate on the side of the deck. I think jungle jim makes one that hangs from a bracket on the handles.
But why would you want a cloth bag? I have used cloth bags and steel mesh (Grass Gobbler) and now the Accelerator aluminum mesh. The Accelerator is the best but the grass gobblers are good also. The Aluminum is light and still strong but the steel is less expensive. The problem with the cloth is that it catches everything. even the smallest pieces and dust and the cloth can clog up especially when damp. This robs the airflow and also fills faster. I am even thinking about getting Accelerator bags for my 21" mowers.
we only collect clipping on one of the propertys we cut....it is a 5-7 acre condo complex with tiny little front yard where there is more planting beds then grass and i dont like to get any grass in the beds....we use the cloth bags b/c you can get closer to thing like tree rings and stuff like that ...plus if there does happen to be a big hieght differance between the contrete and grass then you dont have to worry about a big metal bagger gouging the grass.....the only drawback is the big plate that has to be mounted to the mower, but you get used to it.