I want to create a Chrome extension that adds an option to the right click menu when the user right clicks a certain HTML element (for example a DIV with a known ID).
I would use this to add an option when the user right clicks a tweet on Twitter.com and that option would call a REST service.
Is this posible with a regultar Chrome extension?
Yes, these are called Context Menus. You can find the docs for those here: https://developer.chrome.com/extensions/contextMenus