Cab I file for 2021, 22, and 23 in that order one after the next to get all caught up

Each tax year has to be filed separately using the forms for the specific tax year.  They cannot be combined in any way--do not even put them in the same envelope when you mail them.  Software for past years is available back to 2020.  Any earlier years can only be prepared on paper forms by hand--and those refunds have been forfeited now.

The current online program can only be used for a 2023 return--no other year.  And if you did not file a 2022 return you will have trouble e-filing 2023.  When it asks for your 2022 AGI try using zero.  If zero does not work then you have to print, sign and mail 2023.

 The current online program is for 2023 only.   Only a 2023 return can be prepared online and only a 2023 return can be e-filed.

Online preparation and e-filing for 2020, 2021, and  2022 is permanently closed.

To file a return for a prior tax year

 If you need to prepare a return for 2020, 2021, or 2022  you can purchase and download desktop software to do it, then print, sign,  and mail the return(s)

https://turbotax.intuit.com/personal-taxes/past-years-products/

You may also want to explore purchasing the software from various retailers such as Amazon, Costco, Best Buy, Walmart, Sam’s, etc.

Remember to prepare your state return as well—if you live in a state that has a state income tax.

https://ttlc.intuit.com/community/state-taxes/help/how-do-i-contact-my-state-department-of-revenue/00/25573 

When you mail a tax return, you need to attach any documents showing tax withheld, such as your W-2’s or any 1099’s.  Use a mailing service that will track it, such as UPS or certified mail so you will know the IRS/state received the return.

Federal and state returns must be in separate envelopes and they are mailed to different addresses.  Read the mailing instructions that print with your tax return carefully so you mail them to the right addresses.

Note:  The desktop software you need to prepare the prior year return must be installed/downloaded to a full PC or Mac.  It cannot be used on a mobile device.

If you are getting a refund, there is not a penalty for filing past the deadline.  If you owe taxes, the interest/penalties will be calculated by the IRS based on how much you owe and when they receive your return and payment. The IRS will bill you for this; it will not be calculated by TurboTax.

Yes, you can, but you will need to use the prior years software to prepare the 2021 and 2022 tax returns.   The current TurboTax Online software is only for preparing Tax Year 2023 tax returns.   TurboTax desktop software is available for Tax Year 2021 and Tax Year 2022.    Prior year TurboTax desktop software is linked there.    So, you can prepare 2021, then do 2022.   Once you complete 2022, you can upload that return into the current TurboTax Online platform and prepare your 2023 return without having to retype personal information.