私人郵箱問題

Yes there is. You can see on the list
http://www.hongkongpost.com/chi/publications/guide/content/5.13.pdf

But cannot be sure you can 100% rent in your wanted location as there may be too many people apply and you have 2 choices:-
1/ put on waiting list
2/ apply for a box at other post offices (see the web link for other post office location)