Yes. A dashboard keeps one stable link. Each publish, or a refresh with publishing on, adds a revision: a fixed snapshot of the rows its charts show. People with the link see the latest revision, and the most recent revisions are kept.
The link you sent stays the same while its numbers stay current, and each revision stays as it was published, so it is clear what the dashboard showed at any point. If you share a dashboard on a schedule, such as every month-end, publish it each time and the same link shows the new month.
Charts published on their own, rather than as a saved dashboard, get a snapshot link instead: it never changes, and publishing the charts again creates a new link. See sharing dashboards and how to revoke or expire a link.