No, image resizer will not work within HTML editor in this way. The image would have to be resized in the html or css before image resizer would kick in and optimize it as a smaller image.
You could specify a smaller size with html editor and use image resizer to create a version that would be quicker to download based on the reduced size but you can't simply specify a maximum dimensions and have it resize automatically, but that is an interesting feature request we could consider if it is a common use case people are looking for.