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Actually I believe you can even share a folder via link on Google Drive.
So, you go and create a folder, share it via link. Email the link to the user and he can click the link and drop a file into your shared folder.
Even without user signing up for an account.
I've even tried it locally with my google user logged in without luck. It can be a bug a problem on their servers or myself, but nothing worked... I think onedrive was easier to work with. But it's been a long time since it's last use here...