I will join, because no one wrote it, and maybe posterity will benefit - in a very simple way, without a hammer and puller, you can remove any drill chuck from a Morse taper - you only need an appropriate screw with a nut, e.g. M6, depending on the size of the handle - put inside handle a screw with a nut about 1.5 cm from the end of the screw, tighten the handle with a key, and after inserting a key appropriate for its head on the screw, start screwing it - then the screw will loosen the drill chuck from the cone - of course, you need to check the diameter of the hole inside the handle - the screw must fit into it (have a smaller diameter) so that it can rest its end against the end of the drill shaft - you can alternatively grind its end to the appropriate diameter, or use a ball from a bearing with a suitable hole diameter as a spacer.