So does silver, to the point it’s used in advanced wound dressing. They aren’t cheap though - ask my insurance company! There isn’t that much silver in them, but a 2x2” square is about $4 or so, compared to a few cents for a plain gauze pad.
Silver is 0.72 USD/g at the moment so the price of silver alone does not account for the difference in price. A two inch square piece of silver weighing a gram would be more than a tenth of a millimetre thick.