AWS cloudfront url rewrite

I have an AWS beanstalk application running web-server which generates some static content basing on request parameters. It accepts request urls by following pattern /image.png?w={width}&h={height}&name={name}. The application is located behind AWS cloudfront, which caches this content for some short period of time. But I want my content to be publicly available by urls like site.com/image/{width}/{height}/{name}.png. Does AWS cloudfront or other services allow rewriting urls like that?