Share with othe JotForm users, but not public

I would like to exchange some forms with another user, can I copy my forms? I do not want to publish my forms.

You can share a form with a sub-user. A sub-user can edit forms and view submissions. Please check this guide: How-to-Share-Forms-with-a-Sub-Account-User.

You may also clone the form via the URL, here's how: How-to-Clone-an-Existing-Form-from-a-URL.

Related guide: How-to-transfer-or-share-forms-and-data-with-another-account