You cannot contribute extra to a 401k except through payroll deductions, and any contributions made in 2025 will be counted as 2025 contributions. The rule about making contributions for 2024 up through April 2025 only applies to IRAs. Even though the plans are similar, they have different rules.
If you are eligible to make new deductible contributions to an IRA (based on your age, filing status and income), then you could open an IRA at a bank or broker of your choice, contribute some money, and the new deductible contribution would reduce your income and offset the income realized from the withdrawal, but you have to report both transactions. And, if you are under age 59-1/2, you will be assessed a 10% penalty for early withdrawal that will not be offset by the new contribution. Any withholding from the distribution will go to your credit on your tax return and will add to your refund or reduce the amount you owe after all your income, deductions, penalties and other taxes are taken into account.
The rules for deducting IRA contributions depend on whether you are working, your overall income and filing status, and whether you are covered by a retirement plan at your current job. (You don't say if you are working or retired, and you don't say if the 401k you withdrew from is at your current employer or a former employer, so check the rules carefully.)
https://www.irs.gov/retirement-plans/ira-deduction-limits
This answer has been verified for accuracy by an Intuit expert employee
