Only as much as you believe the two groups had an influence on the French and American revolutions in 18th c. (which is doubtful) and then if you believe the ideals of the French Revolution had an impact on Japan's history (it had inspired some scholars and political theorists during the Meiji years, that's all I can think of). But that's a very vague and roundabout way to look at history.
Signed portrait of Gen. MacArthur in the Yokohama Masonic Temple.
Other than that, there were some important individuals in Japan's history who are known to have belonged to the Freemasons, majority of them foreigners - most notably Isaac Titsingh and Douglas McArthur. But the activities they are famous for can't be seen to be related to their belonging to the Lodge in any obvious way; rather, their membership was a result of their activities (usually outside Japan).
Nowadays the 16 Freemason Lodges registered in Japan are, like everywhere, mostly charity organizations. They were last seen active after the 2011 Earthquake, providing aid to the victims.