Yes - this is possible. In order to do it, you need to assign a tabindex...
<div tabindex="0">Hello World</div>
A tabindex of 0 will put the tag "in the natural tab order of the page". A higher number will give it a specific order of priority, where 1 will be the first, 2 second and so on.
You can also give a tabindex of -1, which will make the div only focus-able by script, not the user.
document.getElementById('test').onclick = function () {_x000D_
document.getElementById('scripted').focus();_x000D_
};
_x000D_
div:focus {_x000D_
background-color: Aqua;_x000D_
}
_x000D_
<div>Element X (not focusable)</div>_x000D_
<div tabindex="0">Element Y (user or script focusable)</div>_x000D_
<div tabindex="-1" id="scripted">Element Z (script-only focusable)</div>_x000D_
<div id="test">Set Focus To Element Z</div>
_x000D_
Obviously, it is a shame to have an element you can focus by script that you can't focus by other input method (especially if a user is keyboard only or similarly constrained). There are also a whole bunch of standard elements that are focusable by default and have semantic information baked in to assist users. Use this knowledge wisely.