[Alas Babylon!]

Yes. We even have a missile that can shoot down low earth orbit satellites.

The US Air Force has the ASM-135 ASAT anti-satellite missile. Shot from an F-15:

The RIM-161 Standard Missile 3 (SM-3). Used by the US Navy:

[MarchonDC09122009]

I suspected we had that capability.
Thank you for confirming details.