Can I file my taxes without a W-2. I know my estimated income I brought in.

No, you should not file without a W-2 however if you know what your income and deductions were from a final payslip you may file using a substitute W-2.  It would be best to contact your employer and request a copy of your W-2 this will help to prevent any incorrect reporting that would delay any refund.

This issue may not be resolved in time for you to file your taxes by the April 18, 2022 deadline.  You may want to consider filing an extension to file you’re your tax return.  This TurboTax link How do I file an IRS extension (Form 4868) in TurboTax Online? will assist you in filing an extension.

IRS extensions for tax year 2021 must be filed on or before April 18, 2022 for domestic taxpayers.

Keep in mind: An extension doesn't give you extra time to pay your taxes — but it will keep you from getting a late filing penalty