Not exactly. The Filing Status is Head of Household or Single or Joint or Married filing separate.
Standard Deduction or Itemized Deductions is a separate deduction no matter what filing status you use. You can take either the Standard Deduction or Itemized on Head of Household status.
To claim Head of Household you need to be filing Single or MFS and claim a dependent on your return, If you are not claimng any dependents you cannot file Head of Household.
