I am not sure you can get around it. Perhaps with the really dangerous --disable-web-security (strongly not recommended, especially if you use this instance of Chrome for normal browsing as well, which can put your device in danger) and --allow-file-access-from-files (also not recommended).
But what about using a simple web server instead?
The simplest choice might be the Python one (running python -m SimpleHTTPServer in the directory of the HTML file).
file:// URLs have many limitations into which you may run, so it is generally not a recommended way of loading documents.