You can use PowerShell script + AzCopy to copy any file like SQL backup to Azure Blob Storage.
See
https://cloud.netapp.com/blog/azure-cvo-blg-how-to-upload-files-to-azure-blob-storage
https://argonsys.com/microsoft-cloud/library/how-to-upload-files-to-azure-blob-storage-using-powershell-and-azcopy/