Does every Chinese character in Japanese have pinyin reading and training reading?

Generally speaking, the pronunciation of Japanese Chinese characters can be divided into two ways: phonetic reading and training reading. Moreover, the same Chinese character can have more than two pronunciation and training reading methods. Of course, some Chinese characters are just for pronunciation or training. And this word, generally only training reading. For example, the word "he" is: つじ), (とぅげ), こむ, は (.