[Strategerist]

It is extremely academic if they can hit one, but they very well may be able to get a modified scud or Nodong on Musudan and bring it down either over the Sea between DPRK and Korea, or somewhere over Japanese land, hopefully not near a populated area. To do so I would say they would be very lucky

They're only going to shoot down a missile launch if it fails (particularly true of the PAC-3s). The current Aegis BMD missile has very limited capability against the Musudan going to it's full estimated range, so the Norks could lob one OVER Japan with very little chance of it being intercepted.

[AmericanInTokyo]

That is the general understanding, yes, quite difficult to do, trajectory, speed, altitude wise.