Including delete feature in Autocomplete

Can autocomplete have a feature such that as a user presses delete on a focused suggestion, the element is deleted from the list and from the source array and a "delete" event is fired on autocomplete element.

Also inside each 'li' element of suggestion panel, a delete image can be appended such that clicking on that will produce same effect as pressing the delete button.

While creating the autocomplete, the author can provide a boolean option 'deletable' and an option deleteImage which can be shown as delete image (defaulting to jQuery delete button)

This is not a common feature. You should build this yourself. Also, note that this adds a lot of complexity if you want to support anything other than array sources.