Can I add a new contact type?
Contact types can only be created by goHappy
Creating a contact type/contact group is reserved for goHappy, so reach out to your CSM or our support team to help you with this. If you are interested in adding another contact type, then it would show up in this view, like Team Members and Terminations.

Most often creating a List can answer the customer's use case, so check out the help site for creating a List.
Create a Dynamic list
Create a list based on specific names