Yes, Freeimage.host supports uploading and sharing WebP images. The site explicitly mentions support for uploading JPG, GIF, PNG, and WEBP formats. Additionally, there are examples of WebP images hosted on Freeimage.host.

I found a site that converted your jpegs to weppy (apparently that's the name for this format).

https://cloudconvert.com/jpg-to-webp

Unfortunately, when I converted two of my JPEGs , the size increased by 25% for one and almost 33% for the other. I think I'll stay with JPEG for now.