Sorry, no. If you really need it today, you could hook up Uppy to Transloadit, and it could export to Azure. But requires a paid subscription. I am happy to accept a PR for Uppy to enable direct Azure blob storage uploads however! (does this work with signing URLs also?)
I'm afraid my Javascript is rather poor but I'll happily look at what it would take to create a plugin for Azure this weekend. Presumably the S3 multi-part uploader and associated companion server would be a good base to understand the flow?