Can I have a global array stored and updated *across* respondents' sessions?

Hello Genius! I am looking for help on creating a global variable across sessions.
I need to have an array of unique numbers stored globally and updated across respondents' sessions. When one respondent enters the survey, the array is called. It will provide one of the numbers to the respondent and store the updated array without the given number. The next respondent in the next session has access to the updated array.  
I have basic JS ready that can do this. My question is, can this be implemented in Qualtrics? That is, can variables exist and be modified across user sessions of the same survey? If Qualtrics does not support storing a global variable, could it be load/modified/saved using JS in for example dropbox?