There can be. Air conditioning can dry out the air, which in turn can dry out your throat and nasal passages. Try using a humidifier in the air conditioned space. If your sore throat clears up, that was probably the cause.
Yes, there are many people who put a fan on them during the night and wake up with a sore throat. Most people sleep with their mouths open, thus allowing air to travel into the mouth and drying out the saliva. This is why your throat is sore in the morning.