Of course you can quilt after you do the binding. However, since you have essentially basted by SID you need to be very careful that adding new quilting after the binding doesnt cause some bunching of the backing and even the top. There is no where for puckering to go unless you are very careful. I have done it but added pins to the area where I am quilting to make sure the layers are even in the specific place the additional quilting is being done.