Is wire wrapping still used nowadays?
Occasionally, in some R&amp;D lab, maybe, if they really need a one-off prototype and someone knows how to wire-wrap and has the tool and wire, and reliability isn't important.  Otherwise making multi-layer PCB has just gotten too cheap and easy for everyone.   Of course, multi-layer boards are much harder to fix than a rat's nest of thin wires, but with modern EDA software, are far more likely to be correct in the first place.

In some parts of the world where financial limitations and difficulty of access to markets force people to make do with whatever they have, it's no surprise to find old techniques in use.  But google turned up no concrete anecdotes like that for WW.  (Maybe I didn't spend enough time googling.)

More likely, WW is to be found in use by hobbyists with an itch to go retro, for example http://hackaday.com/2012/07/10/16-bit-hcmos-computer-is-a-wire-wrapping-wonderland/  where one commenter states "It’s rather zen, and an enjoyable way to burn a day – like knitting, basically."