You don't need the actual 1099NEC to file. Did you include the income on your Schedule C? If not you need to amend to add it.
You should not amend until the first return has fully processed and you get the first refund or your tax due payment has cleared.
How to Amend this year
it is late to receive your tax document, however as indicated by VolvoGirl, you do not need to be concerned if you already claimed all of your business income from self employment.
If you need to amend you can do so now: Be sure to read all the instructions carefully, before you begin, so that TurboTax knows the original numbers and the changed numbers for your amendment.