Export submissions: To use in 3rd party email campaign

If I create a HMTL email Campaign using JotForm am I able to extract it and use on other email platforms of my choice?

You can extract the forms submission data in Excel/CSV/PDF formats:

How-to-Download-Form-Submissions-as-Excel-CSV-PDF

If your third party tool allows import of Excel/CSV/PDF it should work.

For example here is how to import a CSV file with MailChimp:

https://kb.mailchimp.com/lists/growth/import-subscribers-to-a-list