No you can't. You can catch zekrom in Pokemon white and reshiram in Pokemon black.
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Zekrom and Reshiram are Genderless, as are most legendary Pokemon.
Unless you cheat, you can only obtain Reshiram in Pokemon black. You will need to trade to Pokemon black if you have white for zekrom to be in Pokemon black.
Yes, you can get Zekrom from "N's Castle" and in black you get Reshiram instead.
When you reach N's castle, Zekrom will confront you after Reshiram has appeared.
The white legendary Pokémon is Reshiram, while the black legendary Pokémon is Zekrom. You can get Zekrom in the White version while you can get Reshiram in the Black Version.