Can you enter previously recorded and reported assets and depreciation on a rental property from another system?

Yes, the program uses the date placed in service to depreciate. There will be a screen where you can enter the prior depreciation taken. You will have to enter the correct basis for depreciation. If the house was converted from personal to rental, the basis for depeciation is the lower of the adjusted basis or the FMV on the date of conversion. 

leeloo is correct. You can you enter assets and the related depreciation, in TurboTax, if you used a different company. You would set up your rental and add the assets.

To enter your rental asset(s), including your rental building:

1. Sign into your TurboTax account.
2. Select Pick up where I left off or Continue.
3. Select Federal then Wages & Income from the left side menu.
4. On the Wages and income screen, scroll down to Rental Properties and Royalties (Sch E) and Edit/Add.
5. If you get to the Your 2022 rentals and royalties summary screen, Edit the property.
6. On the Here's XXX rental property info screen, scroll down to Assets and to the right of Improvements, furnishings, and other assets, select Edit.
7. On the Your improvements, furnishings, and other assets screen, select Add Asset.
8. On the Your Property Assets screen, scroll down and select +Add an Asset. 
9. On the Describe This Asset screen. select Rental Real Estate Property and Continue.
10. On the Tell Us About This Rental Asset screen, select Residential Rental Real Estate and Continue. 
11. On the Tell Us a Little More About Your Rental Asset screen, click the radio circle next to Residential Rental Real Estate and Continue. 
12. Enter the asset information and Continue with the onscreen interview until complete.

Additional information:

• Where do I enter income and expenses from a rental property?
• What kinds of rental property expenses can I deduct?
• What is rental depreciation and how does it differ from an expense?
• How do I handle capital improvements and depreciation for my rental?

When you enter an asset into turbotax and use the original in service date, the program will figure the amount of prior year's depreciation based on that date, as well as other information you enter and selections you make.  If the depreciation is way off, that's a good indicator you entered something wrong, or selected something not in agreement with the prior year tax return.