Hi,
thanks for your post.
Unfortunately, this is not directly possible with TablePress. There is however an add-on for the DataTables JavaScript library, called DataTables TableTools, that can add buttons above a table that allow downloading the table as a CSV, XLS, or PDF file (but only the whole table).
I have packaged that add-on into a TablePress Extension, so that it can be used with TablePress. Unfortunately, there are currently some issues with that TableTools add-on, so that it is not publicly available at this time. I’m waiting for an update from its developer, and will then immediately make it available at https://tablepress.org/extensions/datatables-tabletools/ You might want to check that page regularly in the next few weeks.
Sorry for the inconvenience.
Regards,
Tobias