Yes you can 2024 now first. You can use the Online version and efile until Oct 15. You will need to enter 0 for the 2023 AGI to efile.
You can only do the last 3 years with Turbo Tax. Online is only good for the current year. For prior years you need to buy the Desktop program. You have to buy each year separately. You can buy the last 3 years of Turbo Tax here,
https://turbotax.intuit.com/personal-taxes/past-years-products/
You will need a full Windows or Mac to install it on.
How to prepare a prior year return
https://ttlc.intuit.com/community/using-turbotax/help/how-do-i-prepare-a-prior-year-tax-return/00/25984