Can turbo tax get my documents since I filed my taxes with H&R block last year??

No---TurboTax cannot "get" your tax return from H & R Block.   If YOU have the file, you can transfer in some information.

How to transfer last year’s return? https://ttlc.intuit.com/questions/1900883

Further information on transferring from H & R Block----the information in the pdf you may have from H & R Block will only put in some of your personal information like your name, address, SSN, etc.   It will not transfer employer information, income information or banking information.

https://ttlc.intuit.com/turbotax-support/en-us/help-article/import-export-data-files/transfer-last-year-return-2021-turbotax-windows/L0JcyjyrG_US_en_US?uid=m3kb7cyv