Splitting Webdesign and Logic?

We are planning to develop a small website with HTML and JS...

Is it reasonable to split the development of the "GUI" and the "logic"? E.g. having two different teams, one team only doing the HTML/GUI part, the other team doing the JavaScript/Logic part.

Or is it better to have teams doing complete "components", e.g. the Login View with its GUI and the Logic needed to perform a login?