I am currently working on a chrome extension which notifies users to complete certain real-life tasks periodically. (Example task: Take a sip of water)

I am still in the stages of validating the project, and I envision it working by having a small popup window appear at the bottom right hand side of the current page the user in viewing. It needs to have some basic functionality to it including:

Accepting the task, denying the task, completing the task.

Is it possible to have a chrome extension generate a pop-up that appears without the user interacting explicitly with the extension? (I.E, not clicking the extension icon)

can this popup have the basic functionality I'm specifying? Here is an image