There have been official releases of HQ-16's results against different types of missiles including supersonic and sea skimmers. Consider that these missiles have ties to Sea Crotale and shtil, which are known to have capability to do so comfortably, I don't see why you would think HH-7 and HQ-16 can't.
It's really a basic requirement for today's SAMs to be able to do so.
Which is why you see nations developing hypersonic cruise missiles like the Brahmos?