No you cannot do that. Only 2017 income can be entered on your 2017 tax return. If you forgot to enter those W-2's on a tax return that you filed for 2016 then you have to amend that tax return and add them.
https://ttlc.intuit.com/questions/3061514-how-do-i-amend-a-2016-return-in-turbotax
If however, you did not file a 2016 return at all, then you should still file your 2016 tax return.
Online preparation and e-filing for 2016 is permanently closed.
To file a return for a prior tax year
Only a 2017 return can be prepared online and e-filed.
If you need to prepare a return for 2014, 2015, or 2016 you can purchase and download desktop software to do it, then print, sign, and mail the return(s)
https://turbotax.intuit.com/personal-taxes/past-years-products/
Remember to prepare your state return as well—if you live in a state that has a state income tax.
When you mail a tax return, you need to attach any documents showing tax withheld, such as your W-2’s or any 1099’s. Use a mailing service that will track it, such as UPS or certified mail so you will know the IRS received the return.
IRS phone lines supported by customer service representatives for both taxpayers and tax professionals are not staffed at this time. To check on regular tax refund status via automated phone, call 800-829-1954. (This line has no information on Economic Impact Payments.)
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
TurboTax gives you an estimated date for receiving your refund based on a 21 day average from your date of acceptance, but it can take longer. Many refunds are taking longer during the pandemic.
Once your federal return has been accepted by the IRS, only the IRS has any control. TurboTax does not receive any updates from the IRS. Your ONLY source of information about your refund now is the IRS.
You need your filing status, your Social Security number and the exact amount (line 20 of your Form 1040) of your federal refund to track your Federal refund:
To track your state refund:
https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
https://ttlc.intuit.com/questions/1901548-why-do-some-refunds-take-longer-than-others
If you chose to have your TurboTax fees deducted from your federal refund, that will take some extra time, while the third party bank handles the refund processing.
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions
https://ttlc.intuit.com/questions/2840013-does-accepted-mean-my-refund-is-approved
Did you efile or mail your return? They just started processing mailed returns that have been stacking up..
If you efiled....Was your return Accepted? First double check your efile status here
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
When you efile you get back 2 emails. The first email only confirms the transmission. The second email says if the IRS (or state) Accepted or Rejected your efile.
Then only the IRS can tell you. IRS Where's my refund https://www.irs.gov/refunds/
Make sure you are using the refund amount from your actual federal tax return and not the combined amount Turbo Tax showed you at the end. That was for federal and state combined.
When you log into your account you should also see the status and if it was Accepted or Rejected, Started, Printed, Ready to Mail, etc. what does it say?
When will you get your refund,
https://ttlc.intuit.com/community/refund-status/help/when-will-i-get-my-irs-tax-refund/01/25589