Maybe. But after 5+ weeks, you run the severe risk of secondary infection. A “cold” that runs that long, isn’t the virus anymore, but the secondary infection taking hold. Antibiotics may not be the right call, but they might be. A “stick it out” attitude on a respiratory infection is the right path, if your goal is pneumonia.

Edit: source- my doctor, when I didn’t want to take the antibiotics for a respiratory infection that I had had for 8 weeks. It cleared within 5 days of starting the antibiotics…