Is it possible to highlight a specific segment in a Google Gantt Chart?

I am attempting to make a Gantt chart using the Google Charts library. The library gives the ability to indicate the percentage of a task’s completion, but I am not interested in that feature. Instead, I am interested in highlighting the part of the task that is overdue. Say, a task was due by the 4th of this month, but it is currently the 8th and the task is still not finished. I would like to highlight the area that represents the overdue period.

Is there a way to achieve this functionality?