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Yes, you should be able to create the multi-step form workflow you mentioned above and connect them to one another.
To connect them each to one another after submission you can do this via this guide here https://www.jotform.com/help/38-Redirecting-Users-to-a-Different-Page.
As for the population of one form to another from form2 to form3 please see https://www.jotform.com/help/71-Prepopulating-fields-to-your-JotForm-via-URL-parameters.