No. All of our imagery is saved on publicly accessible servers as is almost any file that you think is privately stored somewhere. It being public and it being found are two pretty different things. We obscure the location of the images a number of ways the most significant of which is putting it behind 512 bytes of UUID (1 in a bazillion). Basically, no one will ever be able to find it if they don't know where to look. If you are concerned about security, we recommend downloading the outputs, deleting the job from our servers and hosting it yourself.