JotForm is a free online form builder which helps you create online forms without writing a single line of code. No sign-up required.
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That is possible to do in jotform. Simply add an edit link to the notification for the second and third person who will complete the form. Here's a guide to set it up: How to Let Users Update Their Form Submissions at a Later Date
Then you can use Change Email Recipient conditions to change the email recipient. This way, we can send the notification to the second person when the first person fills the form. Then when the second person is done filling the form, we then send the notification to the third person so they can fill out the form too.
You can check out this demo to see it in action: https://form.jotform.com/61359386959980
Simply enter your email in the email field to receive the autoresponder with an edit link.
You can clone the form to your account by following this guide: How to Clone an Existing Form from a URL