Actually, it is not.
Yes, it can. I have said it before here -- that there are no technical barriers that will prevent a ballistic descent against a moving target.
The problem is on the warhead's side. On the descent half of the ballistic arc, the warhead must begin to assess target position as a variable. Target position as a variable is not new. Air-air missile does it. But the advantage is that the air-air missile have much greater control over its flight than a descending ballistic warhead. The air-air missile have propulsion and means of controls to change its course at will. The target is predicted to be at a spatial coordinates and the missile fly to that point.
The ballistic warhead have no means of propulsion. Its forward momentum is gravity driven. It has limited means to affect its descent course. The 'maneuverable' aspect does not mean the ballistic warhead can make 'Top Gun' movie style maneuvers. It means the warhead can make minor course changes to compensate for anything that would make it deviate from its original predictive course.
Against a fixed target, position as a variable is still a mathematical factor, but because the target is fixed, that variable remains a zero, so the ballistic warhead have to compensate only for factors that can affect its flight. But against the moving target, target position as a variable is never a constant zero. Essentially, the warhead now have its workload doubled. This is assuming that the warhead have a sensor package that will give it real time target information.
Science is one thing, tactic is another.
Detecting the target is science. What the target does in defense is tactic. If the warhead uses radar as sensor, how does it compensate for EM jammers ? If the warhead uses infrared as sensor, how does it compensate for flares ? Both EM and IR defensive measures can deploy shields that are literally hundreds and even thousands of km in area coverage. We do not know the extent of testing against defensive tactics in the DF-21D program.
The comment that the US was 'astonished' is hyperbolic intended to boost the morale of the Chinese members here. The US does not have a similar weapon because of arms limitation treaties with the Soviet Union, which Russia is inheritor of them. We know the math and the mechanics of the idea. The US was not 'astonished' in anyway.