Is there a way for me to download our 2022 W2's that we submitted last year?

No.  TurboTax does not have your W-2's.

I NEED A COPY OF MY W-2  (or 1099)

TurboTax does not have a copy of your W-2—the Wage & Tax Statement—issued to you by your employer, (nor does TurboTax have copies of your 1099’s).   You should always save those documents for your own records. You could ask the employer(s) for copies or you can get a copy from Social Security (for a fee of $126).

To get a copy of a W-2 from Social Security https://faq.ssa.gov/en-us/Topic/article/KA-02501

https://www.irs.gov/help-resources/tools-faqs/faqs-for-individuals/frequently-asked-tax-questions-answers/irs-procedures/transcript-or-copy-of-form-w-2/transcript-or-copy-of-form-w-2

If you saved a pdf of your completed tax return, the worksheets will show the W-2 information you entered, but not the actual W-2.

You can get a wage and income transcript from the IRS:  It will not show the actual W-2, 1099’s, etc, but will show the income information the IRS received.  It will not, however, show your state information. It will only show the federal information.

https://www.irs.gov/individuals/get-transcript

Or you can pay the IRS $43 for an actual copy of your tax return which will include copies of your W-2’s     

https://www.irs.gov/pub/irs-pdf/f4506.pdf 

https://ttlc.intuit.com/questions/2561916-how-can-i-get-a-copy-of-my-w-2