No. Whilst you are free to run any route that you like, you must follow all local regulations with regard to rights of way, traffic, hazards, etc. The actual Great North Run takes place on closed roads, most of which are not accessible to pedestrians at any other time of the year. Just as it would be for any training run, it is entirely your responsibility to ensure that your route is safe when taking part in the Virtual Great North Run.
If wearing headphones make sure the volume level is set low enough so that you are still aware of your surrounds including traffic and other pedestrians.