Two sides of the same coin

I have a quandary.

Suppose there is a coin that, when flipped, it lands head’s side up on a table.

Without picking the coin up to confirm the side that is down is tails. Could you ever know that it is tails ?

Assume in this world that the coin has a heads side and tails side when held in your hand.

Assume you cannot view the coin’s two sides in any other way than picking it up.

Is this just a variation of Schrödinger’s Cat ? Or is it more “does a tree make a sound if no one is around to hear it” ?