TRUE
The massive increase of weapons and warfare in general was self-destructive for Europe.
I wonder, though, if your question meant to ask about "weapons of mass destruction." This would be true as well, as I'll detail here.
While the European nations on the Allied side resisted the use of chemical weapons, the use of chemical agents by Germany alone certainly account for an expansion of weapons of mass destruction during the Second World War. Nazi Germany made horrific use of poisonous chemical gases against millions of persons as they carried out the Holocaust. Zyklon B, a cyanide-based chemical, was one of their primary means of exterminating Jews and other unwanted persons.
Beyond Germany and the European theater of the war, weapons of mass destruction expanded during World War II in general. The Japanese used chemical weapons such as mustard gas against the Chinese and as they swept through Southeast Asia.
The Allies participated also in the creation and use of weapons of mass destruction. The United States developed the first atomic bombs, and used two such bombs to destroy the cities of Hiroshima and Nagasaki, killing over 100,000 people with the nuclear explosions.
So yes, there was an expansion in the use of weapons of mass destruction during World War II.