Yes you can sew it by machine. I only use that method.
When you sew your binding onto your quilt, sew it to the back so you flip it to the front.
If you want the topstitching to catch the back part of the binding too, make sure your folded edge on the front is barely over the stitching line, and then topstitch about 1/8 " from that edge.
If you don't care if the stitching shows on the back, which is usually not a problem if you have a busy pattern on the back, just fold it where it fits best and topstitch.
You can also use a fancy embroidery stitch instead of the topstitch on the front.
Sharon Schamber has a youtube video on using glue to hold the binding in place until you sew it. I use that almost all the time instead of pins,