Very unlikely, I'm afraid. The number obviously won't be on the internet and the only people who know it are NEG. The only suggestion is to use the Freedom of Information Act to request it. See posts in the "Geographical chat" section. To date, there are no reports of anyone successfully getting the geographical number from their surgery.
It is also possible that there isn't a geographical alternative. It may use the internet to transport such calls, although if that goes down then it leaves the practice without incoming calls. I suppose NEG will just play music and "Sorry, there is a technical problem, please hold."
It appears that the 0870 890 is allocated to Telstra, which is part of NEG. So this is one practice which has been taken in by NEG's selling tactics.