LDAP Query to find ALL managers of a user

Is it possible, using LDAP filter syntax, to retrieve all users a user is subordinate to, based on the 'manager' attribute? For example,

• Bob is John's manager
• Alice is Bob's manager
• Dave is Alice's manager
• Mary is Dave's manager

When I give John's user account, I get Bob, Alice, Dave and Mary.

I know this can be done the other way around using LDAP_MATCHING_RULE_IN_CHAIN, e.g.

(manager:1.2.840.113556.1.4.1941:=cn=mary,ou=bosses,dc=domain,dc=local)

...would return Dave, Alice, Bob and John's user accounts (per this article):

My question is - in the absence of a corresponding linked attribute (such as in the case of member and memberof), can this be achieved using filter syntax? I know this can be achieved programmatically but I'm trying to avoid that if possible.