You certainly can issue Housing NSW with a Notice To Comply – it has been legally established that as landlord they are responsible for the behaviour of their tenants, especially if they know there’s a problem that would be a breach of by-laws and therefore the terms of the lease but they do nothing about it.
I would guess that if you are prepared to make enough of a fuss, they will act. Why? Because they are taking apartments in buildings all over Sydney (rather than building their own housing stock) and they don’t want to scare the horses. The last thing they need is to see a story in the daily papers about a urinating poo-dropping loony that they have placed in a private housing complex.
In fact, I would just cut to the chase and tell them there’s this idiot who writes about strata for the SMH and he’s sniffing around the story – AND send them a Notice to Comply. That should get their attention.