No, not really. You really need a SIM that isn't meant for an iPhone. But if you jailbreaked, unlocked, and activated it, then it should be fine. At worst, as long as it works, your friend in LA might have to jailbreak/unlock/activate it again.
(On the off chance... if you're asking in general if your EDGE iPhone will work with T-Mobile in LA, the answer is yes, irrespective of from where it came, as long as it was jailbreaked and unlocked).