Can I share turbo tax 2024 product key with a family member if we have different turbo tax log in accounts?

Yes, you can download and install TurboTax Desktop on up to five computers.  Refer to the TurboTax Help articles Can I install TurboTax on more than one computer? You don't need a login to use the download ‌product on your computer.

If you're using TurboTax Online, you can prepare one federal return and up to five state returns from your Intuit Account Refer to the Turbotax article How many tax returns can I file with TurboTax?

You can install Turbo Tax on 5 computers you own.   So they will have to log into your Intuit account to use the License Code.   They changed it this year to enforce the 5 computer rule.  You are not supposed to share it.