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Nope. Only Pokemon from Versions FireRed, LeafGreen, Ruby, Sapphire, and Emerald. Previous games, like Gold, Silver, Crystal, Red, Blue, and Yellowcannot migrate into Diamond and Pearl.
That doesn't mean they have been migrated from G/S/C. There is location data in Diamond and Pearl that says a Pokemon can come from Johto, thats why there is so much hype about Gen II remakes. It would be impossible to trade from Gen II to Gen IV because the data is so different. The same reason why you couldn't trade from Gen II to Gen III and vice versa.
That's just pokesav hacking. You get the option of which region your hack comes from, including jhoto. It's the main reason people are expecting a GSC remake.
But yeah, no can do. There are many features back then that do not exist now, and vice versa. For example, EVs and IVs worked very differently back then.