Generally, Yes. Like many other states, North Carolina doesn't permit all the same deductions as the federal Schedule A (such as the deduction for state income taxes), so your NC itemized may be lower than the NC standard. In that case, you would want to select NC standard. You are not forced to take a lower NC itemized just because you itemized on the federal return.
From NC instructions, page 7:
If you itemized your deductions on your federal return, you may claim either the N.C. itemized deductions OR the N.C. standard deduction on your State return unless you are not entitled to the N.C. standard deduction.
Exceptions: If you are (1) married filing a separate return for North Carolina income tax purposes and your spouse itemizes deductions, or (2) a nonresident alien, or (3) filing a short-year return because of a change in your accounting period, you are not entitled to the standard deduction.