Can I add new questions for the invitee in an appointment page?

Yes, you can add new question for the invitee.
Follow these steps to add new questions in an appointment page:

1. Click the Main Menu.
2. Go to Sales.
3. Click Appointment Pages.
4. Select and open an appointment page.
5. Click Edit icon.
6. Click Next until you reach Invitee Questions.
7. Click +Add New Question.
8. Enter the question and select a type of answer. For example, if you select the Radio Button, then it becomes a multiple-choice question. 
9. Make a question mandatory by clicking the checkmark beside Mandatory.
10. Click Save to add the question to the appointment page.
11. Click Save to save the appointment page.