Hello,
No, currently there is no configuration ability with the Lightning Component. This will have to be done via a Button experience.

Please vote on our uservoice or add additional information for our Product Team to review.
Uservoice: https://nintex.uservoice.com/forums/344250-8-nintex-drawloop-docgen-for-salesforce/suggestions/40594330-admin-should-be-able-to-configure-the-visibility-o

Button Filter docgen package: https://community.nintex.com/t5/How-To/Filtering-Document-Packages-A-How-To-Guide/ta-p/87318

Hope this helps! Let us know if there is anything else

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You can still use a button in the Lightning experience to do this.

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You could use a Screen Flow. Like the Lightning Component, it will keep you on the same page but the experience is much more flexible. --- 

 

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