Yes, cats can have a cold but usually they don't. If a cat gets into extremely cold water and freezes the cat will catch a cold or even worse. They can't catch a cold off a person. When they have a cold they will sneeze, their eyes will be watery and they won't have much energy.

Yes, cats can get a cold and various other respiratory illnesses, as well. Eyes and noses will get runny, and they will sneeze. Most times the cold will be contagious to other cats, so try to keep them apart.