Can my car kill a battery in 2 weeks?

A current draw can in fact kill a battery in a matter of hours, it just depends on how much current is being drawn. I had a 94 Camaro several years ago that would drain a fully charged battery overnight. I suspected it was the alternator, but never did nail it down, the car was stolen before I was able to pinpoint it. Always ran fine, charging voltage was within the acceptable range, but if I didn't disconnect the battery it would be dead by morning.