No. The alternative sync options are for "If you don’t want the benefits of a 1Password membership", and a "team" or "family" account is by definition a 1Password membership.
Yes, you can make/use local vaults (and sync them e.g. using Dropbox) on iOS/macOS with a membership. Open 1Password, then "Preferences -> Advanced -> Allow creation of vaults outside of 1Password accounts".
