I need to know if I can duplicate a .zip file without Copy-Pasting.

Visual Representation:

Computer 1 contains:
__111.html
__112.mp3
__113.wav
__114.avi
__115.pdf
Computer 2 contains:
__000.zip, which contains:
____111.html
____112.mp3
____113.wav
____114.avi
____115.pdf

So, to rephrase my question, is there a way to archive the files on computer 1 so as to exactly duplicate, byte-per-byte, the 000.zip archive on computer 2, while only knowing the size of 000.zip and its contents.

Thank you, and happy thinking!