No. You must file an amended return. The IRS won't give you any free money or free adjustments, you have to put it in writing and sign your name to it. Don't include proof when you file the amended return. Sometimes the IRS will ask for verification later, but they usually don't.
Here are the general amending instructions.
https://ttlc.intuit.com/turbotax-support/en-us/help-article/tax-return/amend-change-correct-return-a...
Note that "head of household" does not mean you are the head of the family, head of the house, or main breadwinner. It is a specific status, mostly for single parents. To qualify, you must meet three tests:
1. You are unmarried, or separated from your spouse under specific conditions,
2. You pay more than half the cost of maintaining your household (rent, food, utilities, etc.),
3. You provide care in your home for a least one qualifying person, usually a child dependent, who lives with you for more than half the year.
If you are single and you list a qualifying dependent on your tax return, Turbotax will recommend head of household status. If you did not claim HOH, it is possible you don't qualify.
