How wide is the binding? It can probably be done but it's not going to be cheap. I know my machine would not like quilting through all the quilt layers plus the binding. My sewing machine could do it if I had a bowtie emblem on it. It does have rabbits, dogs, flowers and other things which I have used to do a decorative stitch on the front of the binding so I'm thinking an embroidery machine could probably do what you're wanting.