Is the fact that The Great Fire of London was stopped from completely destroying the city because of the River Thames a coincidence?

I don't know if anyone knows this but the Great Fire of London was stopped by the River Thames because it starved the fire of glutens/fuel. I recently saw a video that said that the builder of London, in the medieval period, was a man named Christopher Wren. He was trying to rebuild London after a Civil War ruined most of the city. And, he was the main person behind building the modern city of London that you see today. And, there was a theory that he, and a few others, started the Great Fire of London so that they could rebuild the city how they wanted. Now, of course, there is no proof of this, and it's quite far-fetched in my opinion to think that people would burn down a whole city just to rebuild it (I know it wouldn't be the first time in history, but regardless). I know that the Great Fire of London was stopped because of the River Thames, and a slight on and off rain that doused the flames, starving them of fuel before they could get to the rest of the city. But, regardless of whether Wren did burn down the city or not, do you think it's a coincidence that the city he was building, stopped burning at the location it did. And, do you think that Wren, and the rest of people that built the new London, knew that the fire would stop at the Thames?