It should and could be repaired.
One idea I had was to lightly pencil in a line square with the top at the same distance on each side from the corner. Use a couple of straight edges to find the corner that is out in space.
Now, I can think of several fixes but these two are similar with different effect:
Use a handsaw to carefully cut across the corner on both lines you drew. Then find a species of wood that, after test staining and finishing samples, would blend in. Use wood glue to adhere a piece ever so slightly oversized that will bridge the lost corner. Finish per your test piece.
Is that a ribbon of black inlay in the top? If so you might try this: Using similar layout lines as before, you could fill the corner with black epoxy or a contrasting wood piece stained black. Of course you would want to do all four corners for esthetics.
As for the very top of the table, I might start by sanding a new radius and try to match the finish.