Is it possible that the primary key is not indexed?
No, it is not.
For protection PRIMARY KEY, some kind of index is required, otherwise it would require scanning the entire table for each insert (to ensure uniqueness).
From docs :
PRIMARY KEY. , PRIMARY KEY.
, ?
, .
PRIMARY KEY UNIQUE , . , , ALTER TABLE ADD CONSTRAINT UNIQUE CREATE UNIQUE INDEX .
- - , SQL Server 2155 , B-Tree .