It's not correct. Completely silly and physically impossible. And there's no need for a missile to explain anything; meteors routinely blow up on their own in the atmosphere.
As our local expert on all things scientific and atmospheric, how much does it bother you to be wrong about this being “impossible”?
An ICBM travels pretty fast too, the idea is to intercept it not catch up with it. That said there is no anti missile system capable of intercepting a meteorite on short notice. By short notice I mean “Holly s**t what that in the sky?” lol, but just for grins a 20 lbs anything inpacking a meteor traveling at 60,000 mph would result in a very very big band as e=mv2 and 60k mph squared is a very big number. Lets do the math! Mass is about 9kg, velocity is about 30,000m per second so the energy is about 8.1 billion joules. That is enough energy to light up 81 million 100 watt light bulbs for 1 second. Or about 2.1 kilotons of TNT, a small nuke, Not bad for a 20lbs payload.