Yes you have dragging events

• eventDragStart -Triggered when event dragging begins.
• eventDragStop - Triggered when event dragging stops.
• eventDrop - Triggered when dragging stops and the event has moved to a different day/time.

And here you have how to use it

$('#calendar').fullCalendar({
  eventDragStart: () => {
    console.log('drag start');
  },
  eventDragStop: () => {
    console.log('drag stop');
  },
  eventDrop: () => {
    console.log('drop');
  },
});

Regards

As said: is there an event i can listen to to write information on a changed event back to database after I dragged and dropped the event to a different day in calendar from calendar plugin?

html code:

<div id="calendar"></div>

js code:

$('#calendar').fullCalendar({
header: {
    left: 'prev,next today',
    center: 'title',
    right: 'month,agendaWeek,agendaDay,listWeek'
},
defaultDate: '2018-11-16',
navLinks: true,
editable: true,
eventLimit: true,
events: [{
        title: 'All Day Event',
        start: '2018-11-01'
    },
    {
        title: 'Long Event',
        start: '2018-11-07',
        end: '2018-11-10'
    },
    {
        id: 999,
        title: 'Repeating Event',
        start: '2018-11-09T16:00:00'
    },
    {
        id: 999,
        title: 'Repeating Event',
        start: '2018-11-16T16:00:00'
    },
    {
        title: 'Conference',
        start: '2018-11-11',
        end: '2018-11-13'
    },
    {
        title: 'Meeting',
        start: '2018-11-12T10:30:00',
        end: '2018-11-12T12:30:00'
    },
    {
        title: 'Lunch',
        start: '2018-11-12T12:00:00'
    },
    {
        title: 'Meeting',
        start: '2018-11-12T14:30:00'
    },
    {
        title: 'Happy Hour',
        start: '2018-11-12T17:30:00'
    },
    {
        title: 'Dinner',
        start: '2018-11-12T20:00:00'
    },
    {
        title: 'Birthday Party',
        start: '2018-11-13T07:00:00'
    },
    {
        title: 'Click for Google',
        url: 'https://google.com/',
        start: '2018-11-28'
    }
]

});