Are there one-time pokemon I have to choose between in White 2

Are there one-time pokemon I have to choose between in White 2 - Joyful millennial female in casual clothes with bowl of snack using remote controller while sitting on floor leaning on sofa and watching movie in cozy light living room with luxury interior

I recently bought White 2 used, and the previous owner had made it to the Elite Four. Other than the starter, are there any Pokemon they might have chosen over another (and so I should attempt to trade that to another player and then trade back once I start anew)? A similar scenario would be the Mount Moon fossils in Red and Blue; one can only get both in the same playthrough via trading with another player.






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Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Andrea Piacquadio, Darya Sannikova, Andrea Piacquadio, Karolina Grabowska