No. After you select Transmit Returns Now, your e-file goes to pending status, where it will stay until it's either been accepted or rejected by the government. If it's rejected, you can simply go in and fix the error, add the W-2 and re-submit your return. If it's accepted, you would want to wait until you receive your refund and then use the link provided below to amend:
You cannot change or add anything on the return that you e-filed. It is too late, just like when you put an envelope in a US mailbox
Now you have to wait until the IRS either rejects or accepts your return. Which won't be until Feb 12 this year. If your return is rejected, you will be able to go into your account and add or change it and resend it. Click on Add a State to let you back into your return..
If the IRS accepts your return, then you have to wait until it has been fully processed and you have received your refund or paid the tax due. THEN you can prepare an amended tax return 1040X and mail it in. You cannot e-file an amended return. Meanwhile, DO NOT change anything on your return until you start the amended return. If you did change or add the missing info then take it out and put your return back to the way it was when you first filed it.
You can check your efiling status here,
https://turbotax.intuit.com/tax-tools/efile-status-lookup/
How to amend an Online return
https://ttlc.intuit.com/community/amending/help/how-do-i-amend-my-turbotax-online-return/00/27577