I don't ice fish, but my son consistently catches bass (and other species) through the ice (he caught 3 yesterday!). His fav bass & walleye lure is the jigging Rapala, during this hard water period. So I guess the answer to your original question is - absolutely yes!
Now, that being said, I love fishing water between freezing and 50 degrees. Very productive time of the year for me - IF - you know your quarry and it's habits. Bass have a tendency to bunch up in deeper holes when the water cools down. This is because it likes stable water temperatures & conditions. They do feed quite a bit less, but are suckers for an easy, non-energy expending free meal. You've just got to put it where they are.
Try casting the jigging Rap, or Silver Buddy (both snap jigged off the bottom, if the bottom is gravel or sparse weeds); also try the drop shot, and/or jigs. Another alternative is to use suspending jerk baits, which are very productive up here. Regardless of what you you use, a slow and methodical presentation will definitely put the odds in your favor.
It's all about location during this cold water period. Always keep in mind that a bass's nature is such that it cannot pass up an easy meal, regardless of the water temperature. And also keep a positive attitude.