香港特別行政區護照- You can go to 4/F Wanchai Immigration Building, at the tomorrow morning, and bring the air ticket(or some can prove the date you need go to Japan),
the immigration staff will try to issue the 護照 as soon as possible.
(means if you go to Japan at 3/10 afternoon, the 護照 will be ready at morning).
The fee is same as the normally way.(depends on the page of the 護照 you apply).
Good Luck!