Knowing how to write Kanji probably isn't super important, no, but there are a lot of different kanjis that look very similar. Knowing how to write them can help reinforce being able to read them.
From my learning experience, it's good to get the basics down without kanji. Then you can incorporate them using context. An example would be my first year Japanese class: in chapter 1-3, we didn't learn kanji so that we could focus on basic sentence structure and the phonetic alphabets; but in chapter 4 and onward, we started adding kanji with context. This means learning kanji as a word, not the kanji itself due to various reading. Personally, I find that method to be the best way to learn kanji. Oh, and picturing the kanji as a picture helps too!