Not the way I understand (or my organisation uses) swimlanes.
As is implied by the word swimlane, the diagram shows several horizontal 'lanes', these represent individual people or organisations. Then a flowchart is overlayed onto the swimlanes. Whenever an action is performed by a organisation, the flowchart box for that action is in their lane.
This shows for instance who is responsible for what in a process.
I believe that if, say, LOTR was to be shown as a swimlane. You could have the characters that come into contact with The Ring as lanes across the diagram. And a line moving from one lane to the next as the ring passes ownership but going from left to right as it stays in their grasp.
The diagrans in the article show, in many ways, the opposite. The lanes come together and separate over time showing who is in contact rather than who is doing what.