Pocky (ポッキー) is a much-loved long-selling Japanese crunchy long stick-biscuit covered in chocolate (though today there are a huge number of flavours, variations, and seasonal limited editions). It was voted the 17th most popular snack in a 2016 TV Asahi poll. The name comes from the Japanese onomatopoeic sound for something long breaking or snapping in two - pokkin. Pocky Day started in 1999 (year 11 in the Japanese calendar) with a huge advertising campaign, capitalising on the fact that all the ones (11-11-11) looked like Pocky sticks lined up together. See the 2017 commercial (CM in Japanese) here.
So, do Japanese remember and pay their respects to the war dead on a different day - or not at all? The first point to note is that there is no national equivalent to Remembrance/Armistice Day - the closest would probably be Shūsen Ki'nenbi (終戦記念日) on August 15th, the anniversary of the end of World War II (specifically Japan's surrender) but this is not a national holiday and while noted in the media and in an official ceremony is paid little attention by most Japanese (especially young people). Remembering the war is a much more local affair in Japan - such as the peace memorial ceremonies in Hiroshima and Nagasaki to commemorate the atomic bombings on August 6th and 9th respectively or Okinawa's Memorial Day (Irei no Hi =慰霊の日) on June 23rd to mark the end of fighting in Okinawa. The latter, held at Okinawa Peace Memorial Park, is marked by a silent prayer for the victims at noon and is a prefectural holiday.
On a national level, paying respects to the war dead is not a simple matter: some people pay their respects at Yasukuni Shrine (靖国神社) - pictured above - where almost two and a half million souls are enshrined. However, because this includes 14 class-A war criminals this is highly controversial. Perhaps the only viable alternative is Chidorigafuchi National Cemetery (Senbotsusha-Boen=戦没者墓苑) which contains the remains of over 350,000 unidentified war dead. However, it is not widely known: most Japanese are probably more likely to be able to name the various Pocky flavours than know that Japan does actually have a national cemetery.