Server-side, no - probably. Dianoga acts as a layer between the Sitecore Media Library and the caching mechanics.
You can get the byte size of the images client-side however. Which would allow you to render these in your page.
This example lists sizes for all images on your page. Adjust as necessary.
var imgElems = document.getElementsByTagName('img');
for ( var i=0, len = imgElems.length; i < len; i++ )
{
var url = imgElems[i].src || imgElems[i].href;
if (url && url.length > 0)
{
var iTime = performance.getEntriesByName(url)[0];
console.log(iTime.transferSize); //or encodedBodySize, decodedBodySize
}
}
Source: https://stackoverflow.com/a/45409613/81631