@Xie, Tina Welcome to Microsoft Q&A Forum, Thank you for posting your query here!
Presently, It's not possible for Azure File share,
Workaround: Last modified date is the only alternative that is available.
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Additional information :
In general, if you want to track the last access time of the blob, you can enable the last access time tracking feature on the account level.
Optionally enable access time tracking
Once enabled, and you try to check the properties, this shall provide you the last access time of the blob.
Moving ahead, in order to track operation on the storage account, you can rely on the storage diagnostic logging. Since you will be using the SAS token, it won't be logging any user specific details and only log SAS as the authentication scheme. You can narrow down the search based on user agent, client IP and request URL (blob name).
Monitor Azure Blob Storage
Best practices for monitoring Azure Blob Storage
Below is a sample blog for reference on the concept. You can apply the same approach to the newer diagnostic logging as well.
Leveraging Storage Analytics Logs to analyze who accessed the Storage Account
Please let us know if you have any further queries. I’m happy to assist you further.
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