What you need is not an actual dragging
, but a simulation of that, because of the fact that you want to move the object with ease to some location, and dragging is actually moving specific object along with the mouse cursor.
So what you can do is not that complex - check when the mouse clicks on your object and save mouse location. Add listener for mouse move. When the mouse moves, check if it's still pressed (add events for MOUSE_DOWN, MOUSE_UP).IF the mouse is down, on every update check it's location. If the location is more close to your next point - move the object with some tween. If the mouse is released, you can stop tracking if it moves or not.
What you will actually do is tracking when the mouse is pressed, moved and released. During the pressed and released moment, you will track it's location and animate the object corresponding to the cursor (for example if you have two 'locations' at 0 and 100, if the cursor is between 0 and 50 - animate to left; if it's between 50 and 100 - animate to second position).
You will still need some programming skills to do so, and there's no easy way to show you how it's done as I don't know your actual structure.
Hope that helps!