After attempting several work-arounds with various other services, I was able to create a basic intake form using the SquareSpace website development tools. If you have a SquareSpace website as well, you can use the "Text" and "Form" modules to create something simple. A real intake form would still be preferred. This is what I hacked together and maybe it might be helpful for users and development: Wellness Agreement . I'd love any input for things I might have goofed or should add/ change!
Square Space is it's own company and not part of Square to answer your question!