No you need to get it from an event
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You can't catch Darkrai in Pokemon FireRed, it is a 4th generation Pokemon so therefore unavailable in any of the GBA Pokemon games.
Darkrai has the catch rate of maybe the lake pokemon( Azelf, Uxie, and Mesprit) seperate.
Darkrai is a dark type of Pokemon. You can catch one in Pokemon Diamond version on Newmoon Island but you need a membership card.
Darkrai cannot be found in Black 2. (Or Any of the BW, BW2 games). You need to either transfer from a previous generation that has Darkrai or ask a friend.
You cannot catch darkrai in any generation three game even WITH the use of a cheating device. This is because they were not created yet. Darkrai is only obtainable in Generation 4 games through a Nintendo event or a cheating device.