I need a replacement social security card for a noncitizen adult
You can rplace your card for free if it is lost or stolen however you many not need to get a replacement card if you know your social security number.
I need a social security number for other purposes than work
only noncitizens who have permission to work can apply for a social security number. if you do not have premission to work but need a social security number for other purposes there are exceptions