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I believe they do (not sure if theres an SR20 Auto) But there was one thats had a sr20 swap and he had used the ka's stock automatic transmission although they did have to do some modifications to make it work, This was like 3 years ago so its probably a lil easier now(not that alott of people do Automatics anyways). It was a shop in California, maybe v-spec which im not even sure if they are still open nowadays. I know he has since swapped it to 5spd to go into drifting events. I read it in Super Street/Import Tuner.
They made RWD SR20DET's in automatic. The old Pacific Rim S13 originally competed in D1 with an auto trans before they switched to a standard.
Actually, to make it easier for you, if it's a Nissan with a factory SR anything engine, it can be mated to an auto transmission for the relevant drivetrain.