No, Google doesn’t offer a business version of its password manager — its password manager is currently only available for individuals. That said, Google Workspace enables third-party password manager integration options for business password managers like TeamPassword, Passwd, and Zoho Vault. Businesses can install add-ons to Google Workspace accounts, meaning the password manager is accessible from each user’s Google Apps menu, and both team members and managers can use the password manager’s features within Google Workspace.
While the options above are useful for Google Workspace users, I think password managers like 1Password do a much better job of managing passwords across organizations.