Project failed to remove: Error: ENOENT: no such file or directory

You open the databases.json file and remove the one needed from the list. Looks like your databases.json file is already empty, so you might need to restart Neo4j Desktop in order to see the changes.

Steps for removing are in this message: Remove DBMS that now longer exists on FS - #6 by nglgzz

Let me know if that doesn't work!