No. You have to report all your income each year. They have until Jan 31 to send it to you. Wait can't you wait? Filing now won't get your refund any faster.
Actually you don't need to get or wait for the 1099NEC. You can enter the amount without it. You should be keeping your own good records of your income.
You can just enter it as Other self employment income or as Cash or General income. You don't need to get a 1099NEC or 1099Misc or 1099K. Even if you did you can enter all your income as Cash. Only the total goes to schedule C.
How to enter income from Self Employment
https://ttlc.intuit.com/community/self-employed/help/how-do-i-report-income-from-self-employment/00/...
