A method, although not "one click".
Assuming that the circles are in a row.
Select all of the circles and then Offset them outward half the distance you want between them, with the "Delete original" box checked.
Use the Alignment tool, Align to Selection, Outside Edge to move the circles so they are aligned to (touching) the outside edge of the adjacent circle.
Offset all of the circles back inward the same as before, again with the "Delete original" box checked.
Good judgement comes from experience.
Experience comes from bad judgement.