Afaik in pcb editor default, as in just mouse click and drag, is Move all selected elements and nothing else. Drag with tracks is on D or right click menu. While dragging tracks does trigger Shove mode dragging components does not :(
Personally I don't drag single parts with the mouse because it's two clicks for the same thing, so it's irrelevant which action that does. KiCad's best usability innovation is that you press M/G and the thing under the cursor gets selected automatically. And you don't need to keep the button down which is bad for accuracy and for your hand if you do it all day long.
So to drag is not click, release, click, hold, drag but M/G, move mouse.