Yes. Log into your LimeLM account, click any version and click "Export product keys".
If you export in the XML format you get all the data. If you export in the CSV format you get a limited amount of data (because the CSV is an un-standardized, poor format).
And if you want to get a report on a range of keys or customers, use the advanced search to form the query, press search, and if you want to export the data click "Export product keys".