Yes, but an actual copy of your Form W-2 is only available if you submitted it with a paper tax return:

Transcript

• You can get a wage and income transcript, containing the Federal tax information your employer reported to the Social Security Administration (SSA), by visiting our Get your tax records and transcripts page. Refer to Transcript types for individuals and ways to order them and About tax transcripts for more information.
• You can also use Form 4506-T, Request for Transcript of Tax Return. Check the box for Form W-2, specify which tax year(s) you need, and mail or fax the completed form. Most requests will be processed within 10 business days from the IRS received date.
  
  Note: The IRS may be able to provide wage and income transcript information for up to 10 years. However, current processing tax year information may not be complete until the earnings are reported. This transcript doesn't include any state or local tax information reported by your employer to SSA on Form W-2. If you need W-2 information for retirement purposes, you should contact the SSA at 800-772-1213.

Copy

• If you e-filed your tax return or you didn't attach your Form W-2 to your paper return, then use one of the transcript options above. Otherwise, you'll need to contact your employer or SSA for a copy.

• The quickest way to obtain a copy of your current year Form W-2 is through your employer. Your employer first submits Form W-2 to SSA; after SSA processes it, they transmit the federal tax information to the IRS.
• If you can't get your Form W-2 from your employer and you previously attached it to your paper tax return, you can order a copy of the entire return from the IRS for a fee. Complete and mail Form 4506, Request for Copy of Tax Return along with the required fee. Allow 75 calendar days for us to process your request. We will waive the fee for taxpayers impacted by a federally declared disaster. (For more information, see Publication 3067, IRS Disaster Assistance, Federally Declared Disaster Area PDF)

See Topic 159 for additional information.