Hi!
Thanks for your post and sorry for the trouble!
I’m not exactly sure that I understand. Do you mean that you want a table where a visitor can select rows (e.g. by clicking) and only those rows will then be shown in a Print view? If so: Yes, this is possible with the Buttons feature module that is part of the TablePress premium license plans, and as part of the direct priority email support that comes with such a license, I’ll be happy to assist with making that work on your site, of course!
If you have any direct questions around that, please feel free to send me an email to the address from the bottom of https://tablepress.org/pricing/
Regards,
Tobias