Not tried this, but might work to dislodge a tight Jacobs taper.
Drill centrally through the chuck as suggested previously, but make it a small hole for a tight fit on a 3mm (say) steel rod. Now with the arbour downwards, fill the space with oil. Enter the rod (only just) and strike it sharply with a hammer to pressurise the space. The difference in areas should multiply the force on the end of the arbor
Some of us will have removed plain bushes from a blind housing in a similar way. It is surprising that this works even with a very loose fit, but the leakage is small for a sharp blow.