Yes, you can exercise without losing weight. In fact, everyone should exercise simply for the overall health benefits.
Naturally, your body burns fat first after any food in the digestive system, and then uses muscle tissue for energy when in a prolonged fasted state.
Many women fear building muscle because they are worried they will bulk up.
Many yoga poses are naturally bodyweight resistance exercises that can help tone and build lean muscle without burning a large number of calories that are hard to replace to help maintain your weight.
Kettlebell exercises are great for building muscle and burning fat.