It can be repaired, but the process is very delicate and requires skill. I found a video of someone repairing a ribbon cable for you, but also I suggest looking into conductive paints.
Depending on where in the cable it is broken, you might be able to paint the traces with a conductive pen, then cover it with one of those ridged, clear plastic, stick-on covers you see used to prevent short circuits a lot. The rigidity of the plastic could prevent the ribbon from flexing where the break occurred to help keep the silver paint from being disturbed.
Soldering a ribbon (skipping to time code where he starts)
Amazon search for conductive paints:
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