Are you asking about anti-ballistic missile capability?
Yes, we've been developing it for quite a while.
The subject is complex, still relatively classified, and since you're shooting at a missile whose warhead travels at up to 17,000 mph, very, very technically challenging.
We created the Missile Defense Agency under DOD over a decade ago.
Their site has a lot of answers to the questions you're asking: MDA AEGIS
The US Navy's SM-3 missile, in conjunction with the AEGIS SPY-1 radar, was built for this purpose and has been used operationally to shoot down a satellite in orbit. (Operation Burnt Frost). The same weapon system; SM-3 and Aegis radar, has been installed in Deveselu, Romania, to provide defense of Europe from future Iranian missiles. It's a NATO installation, manned by the US Navy.