Google Classroom should be able to connect with Trello, for easier time management. When an assignment is sent to the students, it should automatically be created in Trello. When an assignment is finished, it should be finished in Trello too.
Not out of the box, and places like Zapier (at least when I looked) don't let you do it easily either. I found this page on pulling Classroom assignments into Google Sheets: https://mixedanalytics.com/knowledge-base/import-google-classroom-data-to-google-sheets/
but that seems like a one time pull. If you could get Classroom to populate Sheets, then it would be simple to set up a Zapier zap to push that into Trello.
So - unless you can write code - not really.
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