Can I move the entire form to the right side?

Can I move the entire form over so it doesn't cover the picture in the background of the theme?

Yes, it is possible to move the entire form. 

Is this the form you are working on http://www.jotform.us/form/63614867993170?

Add this CSS code to your form: 

.form-all {

    margin-right: 10px;

}

How to Inject Custom CSS Codes

 

You can also set the background image to be fixed. This can be done inside of the Advanced Designer. 

Here is my demo form: https://form.jotformpro.com/72494805198973 

Feel free to clone it. 

Hope this will help. 

Thank you. I made these changes to this page as well as to my others that
I added a theme to. It showed that the changes were saved, and when I
click to edit a form, the changes show up. However, when I click to view
the form, the changes are not visible. How can I make sure the form I
launch on our website will be correct?
Thank you.
...

You added two dots '.' before that 'margin-right' and because of that CSS code is not valid. 

Remove them to resolve the issue. 

I just copied and pasted, so I don't know how that happened. I went in and
changed them, and they all are correct now.
Thank you!!!
...

I am glad to hear that the issue is resolved. 

Feel free to contact us if you have any other questions or issues.