Yes. In fact, Worth & Worth still makes hats with a button on an elastic cord for windy days. Buttoning down my hat is a fabulous affectation I’ve been practicing since long before the turn of the century. Originally, the buttonhole accommodated a button sewn to the underside of the opposite lapel, thus allowing a man to button all the way up in brisk weather. My elegantly funky (or funkily elegant) old pal Jean Paul Goude was known to wear his jacket buttoned up this way, over his bespoke cashmere sweatpants. Probably still does. Why not have your tailor or cleaner put a button there for you? It comes in handy on days when you’ve underestimated the wind-chill factor or just the wind.