Now - for God's sake, if we want to look intelligent - drop the line about the Japanese not invading America. There is no scholarly source for the quote. The Japanese plans were and are well known. There was NO plan to invade the US - ever. The quote is probably false and cannot be attributed to a legit source.
Not in the way you mean that "they" mean, but not only is there scholarly evidence that Japan intended to invade American shores, there's empirical historical evidence that they did in fact succeed in invading American shores.
As a feint as part of the battle for Midway, a small force did invade parts of Alaska.