Can I integrate forms with Squarespace checkout?

I want to use forms to gather information about customers during payment so that I can make sure I handle their shipping properly. We use Squarespace. Is there a way to integrate the forms into checkout in Squarespace?

We do not have a Square Checkout integration, but you may integrate your form with Square and enable the payment authorization, here are some guides that will help you with that: 

https://www.jotform.com/help/459-How-to-Integrate-Form-with-Square

https://www.jotform.com/help/292-How-to-Enable-Payment-Authorization 

You can also find more information about the integration: JotForm + Squarespace Integration.

Thanks.