Catching? Maybe. You use “balls” to catch things. A pokeball seems very similar to the ghost traps from Ghostbusters, for example.

Fighting? Not at all similar, unless Psyduck suddenly got Gatling guns.

Catching is pretty much the same, fighting, yes and now. Original Pokemon is round based with a specific battle screen, while Palworld is real-time on the overworld. Though, the latest Pokemon-Game has a mode where Pokemon can fight others in real-time in the overworld, without interaction of the player. And IIRC you can also catch Pokemon from the overworld directly or at least initiate a Player-controlled fight. So it's very similar to Palworld, but not exactly the same.