I want to insert a row into a SQL server table at a specific position. For example my table has 100 rows and I want to insert a new row at position 9. But the ID column which is PK for the table already has a row with ID 9. How can I insert a row at this position so that all the rows after it shift to next position?
Relational tables have no 'position'. As an optimization, an index will sort rows by the specified key, if you wish to insert a row at a specific rank in the key order, insert it with a key that sorts in that rank position. In your case you'll have to update all rows with a value if ID greater than 8 to increment ID with 1, then insert the ID with value 9:
UPDATE TABLE table SET ID += 1 WHERE ID >= 9;
INSERT INTO TABLE (ID, ...) VALUES (9, ...);
Needless to say, there cannot possibly be any sane reason for doing something like that. If you would truly have such a requirement, then you would use a composite key with two (or more) parts. Such a key would allow you to insert subkeys so that it sorts in the desired order. But much more likely your problem can be solved exclusively by specifying a correct ORDER BY, w/o messing with the physical order of the rows.
Another way to look at it is to reconsider what primary key means: the identifier of an entity, which does not change during that entity lifetime. Then your question can be rephrased in a way that makes the fallacy in your question more obvious:
I want to change the content of the entity with ID 9 to some new value. The old values of the entity 9 should be moved to the content of entity with ID 10. The old content of entity with ID 10 should be moved to the entity with ID 11... and so on and so forth. The old content of the entity with the highest ID should be inserted as a new entity.