Is there a way to have the first part of the form be filled out and sent to another person who must submit another part of the form to be submitted?

I think you're trying to create an Approval form or something related to that. If yes, please check this guide: https://www.jotform.com/help/432-A-General-Approach-on-Building-an-Approval-Process-Workflow

Please check the guide and let us know if you have any questions.