Identifying particular response

Can I set an auto response to the person who select a certain option in the questionnaire, and invite the person to a follow up survey?

Do you mean to say that you want to send email to user who select option and submit form?

Yes it is possible to achieve your requirement by adding condition in form. Here are the steps you need to follow:

#1. Add one auto-responder email alert for each option you have in form. The following guide should help you how to add auto-responder email alert: https://www.jotform.com/help/26-Setting-up-an-Autoresponder-Email 

#2. Add condition in form to trigger specific auto-responder email based on user's answer. The following guide should help you: https://www.jotform.com/help/167-How-to-Send-Email-Based-on-User-s-Answer

Hope this helps.

Do get back to us if you have any questions.