Electronics Problem

I have a '99 Corvette, 5.7L with 88,000 miles. Just took a road trip and kept getting the dash display that the traction control was switching on and off. Later my wife noticed water dripping from under the passenger side of the dash. Then after parking it overnight the battery was dead the next morning. Jump started and on the drive home the traction control message started again. Then the next day the battery was dead.

My question is: Can the water leak under the dash be from the air conditioner not draining properly and possibly shorting a component under the dash?

Thanks