YES it´s of sure ;)
Hönigmann/Honigmann is a german lastname about profession and means "honey man".
a person who worked with bees and sold honey.
stated also in namesbook "familynames in Carinthia (Austria) and surrounding Areas" of Anton and Tatjana Feinig.
is to find also in nameslist for Gottschee/ Kocevje Germans:http://www.gottschee.org/surname.html
the ö-variant came about dialect, specially at the Gottscheer dialect.
the name is correct in german without s.