Can I enter my prior year (2022) California return tax refund info manually instead of having it read automatically into this year's California State Tax return?

If you used TurboTax Online to start completing a tax return for 2022, but didn't file it, and the information from that unfiled return carries over to 2023, you could either choose to start a different TurboTax account for your 2023 return (in which case you wouldn't have the previous information) or you can use the same account and visit each section of the return that has information carried over from 2022 and make appropriate edits.

For example, if TurboTax is showing payments you made in 2022 towards your 2023 tax liability but you made additional payments that aren't shown, you can go to Deductions and Credits, and add or edit Estimated Tax Payments /  Additional Payments.