Hi,
No, no version of Google Drive, or any other such out-of-the-box cloud storage option for the matter, will work. The destination platform needs to be able to accept (cross-origin) POST requests, which requires configuration options that only some services make available (eg. AWS or webservers with Apache + PHP, among others)
EDIT: note that I am talking about Google Drive here, which is distinct from Cloud Storage (similar to AWS S3)
Jeremy