Generate a Cookie

Hi guys..

i use the google chrome extension cookie editor to copy cookie info from X site..
https://chrome.google.com/webstore/detail/cookie-editor/hlkenndednhfkekhgcdicdfddnkalmdm

i need to create one button from my website to when someone click, website use this cookie info (get with extension) to generate (and download) a copy from copied cookie..

this function is necessary to allow access to X page without loggin info. When you click button you is allowed to access this page.

thats possible? website A generate cookie from website B with website B cookie info.?