This, all many other Multiplayer achievements, can be earned in a Private Multiplayer match. Simply invite your friend over who will let you kill him 10 times without you dying. At the same time, you might as well go for the 'Like a Bee' achievement which is to kill 10 enemies with CQC in one match. Simply kill your friend 10 with CQC (melee) without dying and you should earn both of these at the same time.
If you are looking for a partner to do this or any other achievements with, you just found him ;)
Add me if you are interested in doing this achievement.
Regards, Anabolic Locust