No, I don't think it is possible to rag in on two sides at the same time because of the way it is sewn together-two or three layers of flannel to another square just like it. This is going to make all of the seams face one direction. Then, you sew the rows together with the seams on the same side. However, If you used smaller squares and reversed alternate ones, you would have seams on both sides to clip. I think this is possible but I think it would be difficult.