I'm getting the image dimensions directly from the internet using this code:
string image = @"http://www.hephaestusproject.com/blog/wp-content/uploads/2014/01/csharp3.png";
byte imageData = new WebClient().DownloadData(image);
MemoryStream imgStream = new MemoryStream(imageData);
Image img = Image.FromStream(imgStream);
int wSize = img.Width;
int hSize = img.Height;
In a word, no.
In a few more words, you would have to rely on there being a resource containing details of the dimensions of images on a given server. In 99.99% of cases that will simply not exist.