Can I file my 1099 G later due to unemployment locking my account? Will that prolong my return or should I just wait?

[xmasbaby0]

What do you mean by "file my 1099G later?"    ALL of your 2021 income has to be entered on the SAME tax return---no filing it piece by piece.   Wait for the 1099G and file correctly one time.  

[Opus 17]

If you file a tax return that does not contain all your income, you would later have to file an amended return.  The IRS is so backlogged that amended returns are taking up to a year to process.  If adding your unemployment causes you to owe more tax, you may pay a penalty for late payment.  If it results in an additional refund, it may be a year before you receive it.  I always recommend filing one correct tax return one time, even if you have to wait for some of your information.