Probably. Pneumonia can be caused by a variety of different fungi, bacteria, and viruses. Fungal infections are the most dangerous and least common. Viral infections usually clear up on their own, and bacterial infections vary in their risks, depending on the type of bacteria. With asthma, your risks of complications are higher than average. The absence of fever suggests viral pneumonia and since your symptoms are mild, you will probably recover without any problems. With asthma its important to pay close attention to your symptoms and call your doc ASAP if symptoms worsen.