Simultaneity and uncertainty

[A23]

Let particles fly away from a source at equal speed, waited at equal-distance end positions from the source.

 

Were it possible, that

 

-due to the uncertainty on the position of the source, one particle could sometimes reach the end before,?

 

-and hence the state of the 2nd(now has a sense) particle were changed (because of the wholeness of the wf) before itself would have reached its endpoint ?