That is not how Linux works, so no you cannot do that because root has by definition access to everything! (sudo access = root = full disk access )
So please read this:
And especially pay attention to the tutorial linked inside that tutorial:
What you can do:
sudo access = access to everything
create a new group (E.G. family), add users to that group and give whatever disk access to a “group share” (Probably DATA DISK)
Don’t automount disks
but add the disks to /etc/fstab instead. (you can still do a systemd automount)
E.G. That would:
give group family access to the DATA DISK, but still keep their own documents in their respective /home private
only give the actual admin(s) sudo access, protecting the system directories themselves and ensuring little your 7YO child from completely destroying your entire system by copy-pasting rm -rf / which his bully just sent him through Signal.