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No, it is not, you can only save pokes you have already made on the Team Builder, and I dont see how it can be hard to write EVs and IVs for 6 pokes, it doesnt take more than 5 min
shoddy battle and the physical game carts are totally seperate. Shoddy is NOT for training pokemon on your ds. They cannot be transfered to and from shoddy. Pokemon do not get trained on shoddy at all. SB is for competitive battling. You have access to every pokemon possible, and battle other real people rather than horrible AI.