Answer:
Not on their own they won't - you have to work on it a little.
Even just gentle exercise (to begin with) and diet changes can help banish those bingo wings.
For example eating protein rich food in your diet will help to build and repair your muscles during and after exercise. You may even introduce oily fish. The skin in the bingo wing area may well become dimpled in appearance then the omega three oils in the fish can be a help here to give it a smoother, more textured appreance.
Here's a simple exercise to get you started. All you need for this is a bottle of water or a bag of sugar to act as a weight.
Stand comfortably with your feet apart in line with your hips. Hold your bottle of water in your one hand with that elbow up close to your temple pointing towards the ceiling. Now slowly raise and extend your elbow upwards over your head until just before it locks and keeping your back straight.
Try ten repetitions with the bottle in one hand then switch and do another ten using your other hand.
Source:
http://www.bingowingsexercises.com
Good luck with getting rid of your bingo wings - patience and perseverance is the key.