Simple answer: yes, for the reason you identified; your total income is less than the standard deduction so that you will have no taxable income.
But that assumes that none of your income is from self employment, such as income on a 1099-Misc. The self employed must pay self employment tax ("FICA" - social security and medicare tax) as Self employment tax (SET). SET is in addition to any income tax and all SE income (over $400) is subject to SET.
It further assumes that you are not someone's dependent AND have unearned income, such as interest and dividends.