No, I'm afraid you'll have to buy them at Origin and add them to Steam as a non-Steam game.
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They will all be well, don't worry about it, they're all gonna be ok.
EDIT: Ok now that you edited it I can see what you are asking, I think. EA Games are usually on origin only or if they are in steam they require a third party DRM most of the times.
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only some of the older ones... well, more specifically, some of the older EA games sold on steam (or sold on another store/bundle with a steam key) may sometimes come with an in-game key that you can also add to origin
but games on origin, bought from origin, or bought as EA keys are not to be added to steam, no
if you're asking are there origin exclusive games that arent available on steam, yes most newer ones like simcity, syndicate, masseffect3, battlefield3, 4, hardline, plants vs zombies garden warfare, titanfall, probably some more...
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all games of origin get to steam?
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