If we'd known it was coming, we could in principle have gotten something out to its point of closest Earth approach, but the object's velocity means even that would've been a flyby with no possibility of rendezvous outside possibly an impactor.
As the matter stands today, anything we'd send after it would have to overcome a velocity disadvantage of something like 40 kilometers per second - in other words, traversing the diameter of our planet three or four times every second - on a vector pointed near as nevermind to straight away from us. That's not something our propulsion technology is so far even close to being able to do.
Edit: Oh never mind, you meant the velocity needed to catch up with it.
But, yes, the velocity difference is a killer. The closest we've ever come was the Apollo-Saturn stack, and even that only had ~9km/s left over after reaching escape velocity.
That said, this was literally my first thought when I saw the headline on HN - that I can't wait until we have a space presence good enough that, the next time this happens, we'll be able to quickly send a probe to such an object.