I have absolutely made binding with a little seam in it so I could stretch out the fabric more. I use a wide binding though. If you do add two strips together to make the binding be sure the seam will not end up on the outside anywhere. I can usually go about 1/3 to 2/3 and sew it to the quilt with the seam facing me. Then when I fold it over, it's well hidden and inside the fold. Hope that makes sense. I just had to do it in order to stretch out my binding material to have enough. You know what they say: "Necessity is the mother of invention" . (And it did work beautifully)