How to repair (or hide) chipped kitchen cabinets
Yes.  You get new cabinet doors.  You can go the more expensive route and order them from a custom place (made to order are about $50-80 a door for pine depending on size).  

You can also go to your nearest salvage store and match their cabinets or doors.  Of course you will have to alter some.  

There is just no efficient to repair chipboard.  You would basically have to glue edging onto the cabinets and there would have to be extra material on the inner doors.  It would be ghetto, not look good and not last long.