Yes, it would be possible - but it would be a massive undertaking because the data is all in custom formats, for each of their customers. Remember, AWS has millions of different customers, most of which are running their own code on Amazon's infrastructure. To manipulate data, you'd have to understand it first.
I suppose it would be possible with a gargantuan AI system, but that's not really something that's realistic. The most realistic possibility is one of those companies going out of business, but - given how reliant the world is on them (governments included) - they'd be propped up pretty much forever.
The only other possibility is a Y2k-style bug in very popular data storage software - something like MySQL, PostgreSQL, MongoDB, SQL Server etc (they're all databases). If something like that came out of the blue, it could easily cause loss of data on a massive scale because that software underpins so many of the systems out there.
Don't forget, though, that every company out there has backups, and backups of backups (at least, the ones that matter do), and even small startups run disaster recovery drills every few months to verify that they can recover from a complete infrastructure loss (or a data integrity disaster) in a short period of time.
Basically...lots of very smart people get paid an absolute fortune to worry about all the things you're talking about, so nobody else has to ;) Which, of course, isn't to say that you shouldn't be concerned - you should still run your own backups of your own data, and don't just trust that whoever's running your cloud services will do the job properly. I'm absolutely paranoid about this, which is why I have a fairly hefty server in my back room which stores every bit of data I've ever created (well, the bits I care about, anyway), and that gets backed up regularly to a set of disks that I keep elsewhere. Just in case.