This photo was likely taken in the first quarter of the 20th Century, but please leave a comment if you can help narrow down the date.
I recognise a couple of the buildings. In the centre, the boxy, white building is the Peak Church.
To its right is a terrace, Stewart Terrace, of buildings on slightly different levels as the hill slopes downward. The Terrace faces west, and if you zoom in you can see that several buildings have their awnings open, keeping out the late afternoon sun.
The photos is an old, split-back postcard, titled 'View of Buildings on the Peak, Hongkong.' The back shows:
Published by M. Sternberg, Stationer & Bookseller.
Pictorial Post Card Dealer, 68 Queen's Rd. Central, Hongkong