How can I have a list and when someone picks a person on that list, a specific photo will show up?

Hello! This is not directly possible, but with the help of calculation field values, form calculation widget and paragraph element, you can achieve this.

Please check this form: https://form.jotform.com/203013940160036

You can clone this form into your own account as well to further check its implementation. Following, I've described the working of this form.

If this fulfils your purpose, then you can achieve this as follows:

1. Create Single option fields and set its calculation values as image paths (based on the name of the person).

Guide: https://www.jotform.com/help/301-how-to-assign-calculation-value

2. Add a hidden "Form Calculation" widget and set it as follows (so that the image code is prepared).

3. Create a paragraph element and simply map the form calculation widget's value to it (as shown in the screenshot below):

This is it. I hope this solves your purpose. In case it doesn't, let us know.

Thank you!