There's not a "Pal Park," But there is a building somewhere in the Isshu region where you can transfer your Pokemon through a minigame called "Pokeshifter."
The building itself resembles the pal park, though.
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if you are trying to trade yes. there is a building like pal park on route 15
Route 221 (the island with pal park)
You can not. The only Pal Pad codes you can register are Generation V Games (Pokemon Black or White). You can not register Generation III or IV Games.
There is no HM for Dive in SoulSilver, but you can get it by transferring a Pokemon who knows dive into SoulSilver the Pal Park. but you can get dive as a HM in Pokemon black and white but not in soulsilver,heartgold,platinum,diamond,and pearl
He isn't in Pal Park, he's in Eterna City