Depending on what you’d like to do with it, you could get a server at a hosting provider that allows you to send in USB sticks with data and uploads it for you

Depending on what you’d like to do with it, you could get a server at a hosting provider that allows you to send in USB sticks with data and uploads it for you (makre sure the content is encrypted though) or get a colo with your own server which you then would have access to. If you just need it as a cache as mentioned in another comment, you can go with a VPS