Are there other mouth conditions that cause halitosis?

Yes. When you say other conditions what are the ones you are refering to? Halitosis is usually caused by infections in the mouth...But... It can also come from problems in the stomach.
Yes. Halitosis (bad breath) can be evident because of cavities, gum disease, bacterial accumulations on and between teeth and on the tongue, tonsil infection, sinus infection, post-nasal drip and even oral cancer, to name a few possibilities. Don't just try to mask it with mouthwash. Have a dentist thoroughly evaluate your mouth. This can be treated.
Several conditions. Several conditions in the mouth can cause halitosis (bad breath), such as gum disease, dental infections, poor dental hygiene, tonsil infections, multiple oral ulcers, etc...