no, if you belive in cheating (witchmost people, including me, dont belive in)you can just fill out your pokedex and then got to prof. rowen, etc, so the answer is no.
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You cnnot catch it in Pokemon fire red ,but you can catch it in Pokemon Diamond and Pearl.If you want it to be in your fire red,you will have to migrate it from your Diamond/pearl to your fire red.
migrate with emerald, ruby, sapphire, leaf green or fire red
To breed Pokemon from Poekmon Fire Red to Pokemon Diamond you must put Pokemon Fire Red into the DS slot, turn the game on, select Pokemon diamond, press start and then in stead of pressing your file, scroll down until you see migrate from Pokemon Fire Red. This will bring you to your Pokemon Fire Red PC box and you can choose six Pokemon to migrate. After that you must go to Pal Park on Route 221 and catch those migrated Pokemon there. Don't worry, even if they're legendary, you catch them in one try. - BEWARE - POKEMON MIGRATED TO DIAMOND CANNOT BE MIGRATED BACK
as far as i no u cant catch it on diamond or pearl you hav 2 catch it on games like fire red and then migrate it
To catch every Pokemon, you need action replay for the few last diamond legendaries. You will need Pokemon fire red/leaf green and emerald. Migrate them to Pokemon diamond. In Pokemon diamond, fill up your pokedex by catching Pokemon normally or with poke radar, or use gts. It will take a long time to catch all Pokemon