Is that a “Drill Chuck” Schumer? Or are they going with the more reliable “Norris” model?
This looks a lot like something that the (assisted late) Gerald Bull would have built, except pointed downwards.
Another (and definitely doable) idea was to build a nuclear reactor in a titaninum/tungsten shell, that when activated would reach very, very high temperatures. Gravity alone would do the drilling through the molten rock. For obvious reasons, this was never built.