Yes they will! Our cats constantly get singed whiskers, b/c of the bbq outside (yes we still bbq when it there is snow on the ground!), it is warm there, so they think the closer I get to the bbq the warmer it is! As a result, you have a few (well all of them) that have shorter whiskers! lol Shorty did it once with a candle, that was on the counter, where she knows that she isn't supposed to be on, but she went up anyways, and we didn't know she was there. She got a pawful of wax/fire, and her whiskers singed, and eyebrow whiskers, and she hasn't really touched it since. We don't have candles going a lot here, but she knows and wants to "explore" it a bit. But they grow back, and they learn their lesson that the counter is not a place to go on to! hard way to learn but.....what can ya do?