No, because the Screen Reader is integrated with the Joomla multilanguage, this means that it will work based on the Joomla frontend language chosen by the user. Your site needs to be a real multilanguage website or translated on the fly by the Google Translate(GTranslate) plugin if the integration with GTranslate is enabled.
Moreover the text of your contents must be the same accordingly to the language chosen for the website frontend, obviously you can't mix languages because the Screen Reader always assumes that the text is of a unique language on a single page and across all pages of the website for a specific language that has been chosen.
The Screen Reader always assumes that contents are written in the Joomla current language chosen for the website frontend.
May i use mixed language contents or Google Translate with the Screen Reader?