Yes, if you are a victim of identity theft, you do need to file as soon as possible.
The reason you cannot e-file until this is straightened out is another layer of protection for you. If you cannot e-file with that social security number, no one else can, either. The IRS accepts a social security number once per tax year.*
By mailing in the return, you can provide more information so they know your social security number is yours and does not belong to anyone else.
For more information and TurboTax support, see:
What to do if you suspect tax-related identity theft
What is Full Identity Restoration?
*(unless you indicate that someone else can claim you as a dependent on someone else's return. Both you and the person claiming you as a dependent would identify this.)
@Luna16
