Hi there,
Currently there's no setting to configure this. You may hack the css in order to hide/ disable it.
You will need to add the css I'm about to give below in this path:
joomlafolder/templates/YourCurrentTemplate/html/com_easysocial/css/custom.css
note: this will hide online status on large avatars.e.g. profile page
#es .es-user-status-indicator{
display:none;
}
note: this will hide online status on small avatars.e.g people in the network page
#es .o-avatar-status__indicator{
display:none;
}
If you face any problem with it, kindly provide us your ftp details and do let us know on which pages you want to disable it, then we will do it for you.
Thank you.