The short answer is no, you can't.
The only way you can really get a kanji name in Japan is to become a naturalized citizen of a country that only uses Chinese characters for names.
Even the nikkei overseas no longer have kanji names, because legally their names are written in another script. Sometimes you see them using kanji, but technically this is just ateji, also. When I changed my name to that of my ex-wife in Japan, I signed my name in kanji because it was easier, but that was ateji as well, even though I knew and could prove that the kanji I used were the same as my wife with the same sounding name.
Become a citizen of Taiwan or China or Japan, and things are different, of course.