Yes, you could probably fix the areas that are coming apart. However it will be time consuming, and the top will probably continue to come apart in more areas. It looks like the fabrics are fairly loose weave and the seams not deep enough. Quilting it fairly densely would help to hold it together. I would ask the friend whether it's truly worth it to her to try to salvage the quilt, when the same amount of time could be used to make another that would not have these problems. It might be that the quilt has great sentimental value, or perhaps not.