It depends on how you intend to use Japanese. I learned Kana through memrise very quickly (a couple of weeks). This was great to recognise and to read the characters on a computer screen. This is handy to read printed text, food packets, train station signs, etc.
However, I didn't take much care with the stroke order until I began learning Kanji and some habits are tough to break. As with Kanji the handwritten forms can be difficult to read if written incorrectly, particularly in cursive. It's good to be familiar with cursive Kana as they are used in different fonts. The *Aedict and
Notably the hiragana さ, き, and ふ are often stylised differently. Similarly, the katakana ソ, ン, シ, and ツ are very difficult to distinguish without practice writing them in the correct order.
Many Japanese learning Apps or texts will guide you with the correct order while learning to write Kana. The Aedict and Kanji Study Apps both support stroke order for Kana.