In Poland you can block your PESEL (SSN equivalent) to prevent this kind of fraud. One click in our government app or website. If PESEL is needed to confirm identify with a corporation you can unlock it temporarily.
I think it is slightly different in Poland. PESEL has status blocked or unblocked. Certain operations like taking loan or opening bank account requires PESEL to be unblocked at time of operation. But not everything requires unblocked PESEL. If it is not required to be unblocked by law, companies can still verify identity with PESEL even if status is blocked. Correct me if I am wrong. Anyway it is still big improvement.
I think it is slightly different in Poland. PESEL has status blocked or unblocked. Certain operations like taking loan or opening bank account requires PESEL to be unblocked at time of operation. But not everything requires unblocked PESEL. If it is not required to be unblocked by law, companies can still verify identity with PESEL even if status is blocked. Correct me if I am wrong. Anyway it is still big improvement.