You can't do that. Not in Quick PicEdit at least.
In PicEdit (the standalone program), there is a scripting tool that would allow you to program a circle with unconnected dots. But there's a better/quicker way.
Start with a dot in the centre of the screen, just a standard dot, 2 points total (or more if you want slightly brighter but more dangerous dots).
Then, on the timeline, place a Loop event with an animation, with the dot. Then, set the Duplicate count to the amount of dots you want. The maximum is 30, so if you want more, you need to do tricks like copying the end result and rotate it just the right amount.
Then, place a ShiftX and a ShiftY event (inside the Loop under the animation). Use these expressions:
in the ShiftX:
sin(loop*2*pi)*0.5+0.5 //(pro tip: just remove the "Cnt"
)
in the ShiftY:
cos(loop*2*pi)*0.5+0.5
You can add "+phase" inside the arguments of the sin and cos functions to rotate the circle.
Notice: you don't need to use the Shift events. You can also use Pre- or PostMove X/Y. This is depending on where you want the circle in the evaluating process (see under Help >> Timeline help). For example, when you use Shift, the Rotate events won't have any effect (in fact, they rotate the dot themselves around which is a bit pointless), but if you use PreMoveX/Y, the Rotate events work as normal.
Hope this was clear :P And yes, I wish there was an easier way too, but this works as well.