No, the Persian ki is the conjunction (Polis teşkilatı faaliyetlerini arttırdı ki, hırsızlık azalsın), not the possessive suffix (-ki).
Sources: Me being a native speaker and also: Turkish Grammar (Oxford 2nd ed. 2001), Geoffrey Lewis. Pages 69 and 211 (Just checked to be sure).
Interestingly the -ki suffix here was borrowed from Persian (another Indo-European language like English), and effectively highlights a unique instance - "the one which" - in a way that Turkish otherwise doesn't specifically do.