Is it possible to record each click in a log and ask what a user did in neo4j?

Is it possible tracking the movement of users in neo4j? I mean: querys, clicks, and others stuff...

yes. (please note that my reply is intentionally as unspecific as your question which lacks any context)

if you mean neo4j-browser, you'd have to add such tracking yourself.
it's oss an react application and you can find it under GitHub - neo4j/neo4j-browser: Neo4j Browser is the general purpose user interface for working with Neo4j. Query, visualize, administrate and monitor the database.