I understand that one can set Accept-Ranges: none on the server to advise the client not to attempt a range request.
I am wondering if there is a way to tell a browser not to attempt a range request without having to make any changes on the server.
For instance, is there a setting in Chrome or Firefox that I can toggle to deter my browser from making range requests?
You answered the question in the first sentence.
The relevant RFC is 7233, Hypertext Transfer Protocol (HTTP/1.1): Range Requests:
If you mean you want to know how to disable range requests in a browser altogether, consult the specific browser's documentation. A quick web search yielded no options for me to do this for common browsers.