Judging from the distance I would hazard a guess that the car was somewhere just north of the junction with Dundas Street. Note the film adverts on the left hand side. HK has a great heritage in excellent film artwork, and it looks as though the scaffolding surrounding a construction site was a popular place to put them up. At first I thought it may have been the front of a cinema, but I am not sure there were any along there in 1962?
Edit: Going through some later screen shots and I realised that some more film had been shot along this particular stretch of Nathan Road with a better view of the film posters.