No.
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It has been neither confirmed nor denied, though if you cannot then you can probably trade Pokemon over to HeartGold and SoulSilver to transfer onto it. There have been no announcements of the Pokewalker to be included with Pokemon Black and White. Since Pokemon Black and White feature new Pokemon, not obtainable in HeartGold or SoulSilver, then the chances of the Pokewalker being compatible with Pokemon Black and White is low. The only other solution is for Nintendo to make a new Pokewalker device to work along side Pokemon Black and White.
You can't put a Pokemon in the pokewalker in Pokemon platinum, as the pokewalker was designed for only Pokemon Heartgold & Soulsilver.
By unlocking the pokewalker route
You do not need a Pokewalker to trade Pokemon. The DS has built-in wireless communications. The DS does not need the Pokewalker to trade Pokemon.
If you reset your pokewalker your Pokemon will go and all your data will be deleted. That includes the steps places and watts. DONT BOTHER DOING IT UNLESS YOUR HAVE STARTED A NEW SAVE AND THERE IS A POKEMON ON THE POKEWALKER WITH A POKEMON ON IT!!!