No, you can omit entering the Verification Code.
If your W-2 has a Verification Code, it is Box 9. It is 16-digits and
has an odd combination of numbers and letters.
Taxpayers and tax professionals are urged to enter the verification code when prompted by software, as it can speed the processing of the return and the issuance of the refund. However, omitted and incorrect verification codes will not delay the processing of a tax return.
The form will include these instructions to taxpayers and tax preparers: “Box 9. If you are e-filing and if there is a code in this box, enter it when prompted by your software. This code assists the IRS in validating the W-2 data submitted with your return. The code is not entered on paper-filed returns.”
https://www.irs.gov/individuals/w-2-verification-code
