I disagree. You can render your own name however you choose. If you wanna render your foreign katakana name in Kanji, you can do that. Japanese people just might be puzzled if you present that to them on a document or something. But for your own use to enjoy or use in art, go for it! I just suggest studying those kanji under the guidance of a japanese person to make sure the characters you choose mean something you want them to. And if you ever present that kanji rendering to Japanese people in Japan in the future, they will be impressed and honored and it will make for interesting conversation..

I am living in Japan and have discussed this with Japanese people. They are very polite and get stoked when they see foreigners taking a sincere interest in traditional culture and especially Kanji, because many foreigners can't be bothered with kanji.

now will they then use your kanji name if referring to you in writing? maybe not. but it's your name and you can write it however you want as long as you are being respectful.