Yes, you should be able to.
Browsers initially don’t look at the filename, they look at the MIME type listed in the Content-type header in the response from the HTTP server. If the content type is image/jpeg, or png or gif or whatever, things are good and it will happily render the image.
If there is no valid MIME type, some browsers will try to guess what the type is. They’ll look at the extension of object being request, or they’ll look at the first few bytes. If that fails, then you get a redex.
That used to cause some woes back in the early days of Firefox / Firebird, because it was strict about mime types and often refused to render something without a valid MIME type. IE made a guess, and so many sloppy web servers would serve up pages that would render fine in IE, but not in others. These days though, things are much better.
So, as long as your web server is providing the right MIME type when the img object is requested, you’ll be good to go. If you are having problems, check what your web server is doing when “https://stackoverflow.com/questions/5110384/advertisements/12” is requested.