Yes, it does to a large extent. The movie tries to stay true to the main plot and characters of the manga.
Alita: Battle Angel is considered a relatively faithful adaptation of the manga. It captures the essential elements and themes while making some tweaks to make it visually compelling and suitable for the cinematic format.
Overall, Alita: Battle Angel adheres quite closely to the manga. However, there are some necessary changes made for the film adaptation to work on the big screen, but they don't deviate too much from the core of the manga story.