no. all your w-2's for a year must be included on the same return. the IRS will probably catch this error, but it's probably better that you amend.
You need to wait for the original return to be fully processed. The IRS might catch your mistake and make corrections for you. If they do not catch it, then you will need to amend your tax return to add that W-2. Going forward, be aware that all of your W-2's must be entered on the same tax return; you cannot file them one by one on separate returns.
Wait until your original return has been fully processed before you amend, and make sure you have saved a pdf of the original return before you amend. (If you do not save it as a pdf, the amended return will overwrite the original, and the original will be lost forever)
See this TurboTax support FAQ for amending a tax return -
CURRENT YEAR
Do not expect quick results from amending. It can take four months or more for the IRS to process an amended return.
You can watch for information here:
https://www.irs.gov/Filing/Individuals/Amended-Returns-(Form-1040-X)/Wheres-My-Amended-Return-1