Survey tied to Infusionsoft

I want to send a series of four surveys after a user completes a course in our LMS using Gravity Forms Surveys and Infusionsoft. I am thinking that the emails should come from Infusionsoft through a marketing campaign and link to the survey in Gravity Forms. The responses should be stored in the LMS but the user record in Infusionsoft should be tagged when the user completes the survey. Is that possible with Gravity Forms Surveys? Thanks! Sharon