If you have fixed the issue with the IRS regarding your wrong social security number then you will be able to e-file. You can check what the IRS has as your social security number by verifying it with the social security administration. The IRS uses that database.
If the social security numbers don't match you won't be able to e-file.
Please see this for more information:
https://ttlc.intuit.com/replies/3302450
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