Can my car kill a battery in 2 weeks?

Deep discharge. Most Digital battery chargers will not bring them back. They need a little jump from a good battery to start charging. A bulb staying on is very common. Done light, trunk light and the glove box light are common, one that gets overlooked is power antenna.
I have a flir camera that attatches to my smart phone, it makes quick work of something like this. Current draw also produces heat.