Exporting certain fields to a pdf?

Is there a way to export only certain fields of a given submission to a pdf?  

I think I figured that part out by using the filters, but can the formatting of the pdf be manipulated?

You can hide the fields on the PDF by unchecking it on the submission page. 

You can customize the PDF design on the submission page. You can access it on PDF > Customize PDF.

For more information, you can check this guide: How to Customize PDF Submissions Report.