Sounds tricky, but here's my first thought. Add a listener to the combo boxes. When a value is selected from one of them, retrieve a list of the other combo boxes from that row. A custom table model can help with that. You don't need to create a new JComboBox, only update their list of data. You can remove the selected item from the other boxes. Do all the rows contain the same items in the JComboBox? Because then it would be easy to keep a master list to help with the updates.
There's probably a better way but that's my idea.