Why is this a problem? Well, as Thomas noted in his comments, Queen's Road is a west-bound one way road so there is no way the cars could travel from the west end of the island to Wanchai (where the chase ends up) via this road. Silly me, I should have realised :(
Anyway, once again Thomas hit the nail on the head and identified this particular stretch of the road as the section in Central near to the junction with Pottinger Street. In fact, in the last picture above you can just make out the recently demolished Redge House that stands on the corner with Pottinger Street (the lighter-coloured second building down on the right hand side).
Once again a big thanks to Thomas.