Uhhh no.
http://www.whosdatedwho.com/tpx_3339/kim-kardashian/
This site links her with 18 celebs and they keep track by press pics and the likes. So 5 would be incorrect and these are just the ones she was public with. I remember most of these after reading their list and you can see what relationships they have links for the relationships below:
Bret Lockett and Kim Kardashian
50 Cent and Kim Kardashian
Kim Kardashian and TJ Jackson
Kim Kardashian and Damon Thomas
Julian St. Jox and Kim Kardashian
Kim Kardashian and Nick Lachey
Nick Cannon and Kim Kardashian
Ray-J and Kim Kardashian
Kim Kardashian and Marques Houston
Kim Kardashian and Evan Ross
Reggie Bush and Kim Kardashian
Kim Kardashian and Cristiano Ronaldo
Kim Kardashian and Shengo Deane
Miles Austin and Kim Kardashian
Kim Kardashian and Michael Copon
Kim Kardashian and Gabriel Aubry
Kim Kardashian and Kris Humphries
Kanye West and Kim Kardashian