Like others, I’m slightly confused by the question.
If you mean the “pronunciation” component of certain kanji (radicals that often signal a certain reading), no–Wanikani does not specifically identify those. However, you’ll likely pick up on patterns on your own.
If you mean pronunciation of Japanese in general … WK assumes you already have hiragana/katakana and their associated sound libraries down. After that, Japanese is a “what you see is what you get” language. The whole thing is made up of approximately fifty syllabic sounds that never vary in pronunciation. (They do vary in stress depending on the compound and dialect, so paying attention to that at high levels of speaking can help as a learner, but unlike other languages, this never affects meaning–just naturalness to the ears of a native speaker.) If you want to drill down on correct pitch-accent, there are audio files for each item.
If you need more instructions about Japanese’s sound library in general (including its handful of sounds not present in English), for that you’ll need outside resources–but you should have the gist of it down as you learn kana and before starting WK.
What WK does is teach you all major readings for each kanji, by providing them in kana. If you try out the trial levels, you can probably better let us know what aspects you’re wondering about.