So... is Kanata no Astra finished or not?
YES, it is finished.
Why?
The anime finished after the manga:
Anime finished: September 18, 2019
Manga finished: December 30, 2017
MangaUpdates contains information about the anime adaptation and indicates that it is complete.
Watching Order (by release date)
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Synopsis
In a future where space travel is common, a group of high school students, team B-5, sets off on a space camp adventure to planet McPa.
Their trip takes a dramatic turn when a mysterious phenomenon throws them far off course and strands them in the depths of space.
Finding a derelict spaceship called Astra, they decide to use it as their lifeline, embarking on a perilous journey back to their home planet.
The students must learn to work together, manage their limited resources, and overcome the challenges of space as they face the unknown dangers that lie ahead on their long and arduous voyage.
Their survival depends on their ability to unite and navigate the darkness of space while trying to figure out why they were thrown so far away from home in the first place.