You might, if your employer is a TurboTax Import Partner. However, we do ask for information from your W-2 to facilitate the import process.
If you want to go ahead and try importing anyway, the first thing you'll need is your employer's EIN, or Employer Identification Number.
Will I be able to import my W-2 before I get it in the mail?
How do I import my W-2 in TurboTax Online?