Can I download the form into a interactive/logic PDF file?

Yes, you can download your form into a PDF fillable form. But there are limitations of what fields are supported.

Please check this thread regarding PDF fillable form FAQs.
https://www.jotform.com/help/312-JotForm-Fillable-PDF-Creator-with-All-Points

https://www.jotform.com/fillable-pdf-form-creator/

If you have an existing online form and wanted a PDF copy of it, kindly check the guide below.

https://www.jotform.com/help/212-How-to-Create-a-PDF-Form

Let us know if you have further question.