I am not sure which bomb you mean, however, if you mean the atomic bomb, then it is at least possible that had Imperial Japan developed the atomic bomb, rather than the US, and had they used the atomic bomb against the US during WW II, then it may be that the US would have surrendered, and that Japan would now rule the world (perhaps also conquering its sort-of ally, the Third Reich). However, such alternate histories are very complicated to figure out. The unfolding of world history is influenced by many different factors.
Additional Thought
If Japan had developed the atomic bomb prior to the US involvement in the war, and then used it in their preemptive strike on the US, then it seems very likely that the Allied Forces would have been annihilated. At that time, the US was trying (perhaps too hard) to stay out of the war, and was not fully geared up to respond even to a conventional strike. If Japan had used such a weapon at that time, there is no reason to believe that they would have stopped at Pearl Harbor. Much of the US and probably much of Europe would have been devastated by multiple bombings.
In World War 2, the Japanese wanted to move first against the US because they knew the US would eventually become involved. By attacking first, they were able to eliminate some of the USA's powerful navy.
First Sino-Japanese War happened on 1894-08-01.
In World War 2, the Japanese wanted to move first against the US because they knew the US would eventually become involved. By attacking first, they were able to eliminate some of the USA's powerful navy.
the First March Movement
The Japanese first attacked at Pearl Harbor Hawaii.
Amongst some of the first, were the wars against the Mongols of Kubla Khan in 1274 AD.
First Encirclement Campaign against Honghu Soviet happened in 1930-12.
First Encirclement Campaign against Jiangxi Soviet happened in 1930-11.
Japanese
Against the Japanese city of Hiroshima, on 6th August 1945.
the first world war was initially against Germany
Hiroshima