Yes, it's possible especially on Joomla version prior to 3.x.
This mainly happens because of conflicts between multiple inclusions of the jQuery library also used by chat component.
Unfortunately until Joomla 3.x has been released, no standard way to include jQuery library was available for developers. As a results every developer using jQuery in their project included its own version of jQuery library.
This led to a real 'jQuery hell' where a lot of files related to different jQuery version was placed inside page HTML, with obvious malfunction. Starting with Joomla 3.x this problem is progressively decreasing.