Can minerals be found under a lake?

Not a weird question at all! Yes, oil and gas can be produced under a lake just fine. It’s a bit more complicated/expensive than if the surface were grassland, but better than if the surface were a crowded subdivision. If the lake is small enough (say, if the target reservoir is a mile or less from the shore), then the oil company can drill from the shoreline and steer the well under the lake. Most oil & gas deposits are more than 3000’ deep, and most lakes are less than 100’ deep.