my understanding:
usually:
no credit if u do not have SSN
no credit if u have SSN but no credit cards
no credit if u have SSN but are not a primary cardholder of any credit card,
except special ones like Amex cards
However, when u eventually get SSN, such previous history will be added to
ur profile and become ur credit history
but in any cases, having SSN is the first step to get a credit profile
Correct me if I am wrong. I don't know about ITIN cases.