Zoid has explained the potential for a smooth sole to hydroplane if there’s any liquid present at all.
As for dry friction, the most basic model is the Coulomb model, with says that available traction force is equal to the normal force (in this case, the weight of the player) multiplied by the material’s friction coefficient. Since increasing the contact surface area doesn’t increase the weight of the player, it won’t increase the available traction force, according to this model of friction.
The thing with dragsters (and most track-racing cars/motorcycles) is that the tires are made of material that becomes sticky when it gets hot. It’s like coating the tires with rubber cement, and the Coulomb model no longer applies: as the normal force is reduced toward zero, the available traction force does *not/i] also fall toward zero, so you can indeed get more traction with more surface area.