Can my car kill a battery in 2 weeks?

Could be an alternator negative diode leaking (allowing current through the wrong way).
Looking for a small leak has already been described.
I found a quick test to see if you have a closed circuit take a test light remove the battery cable put one end on the cable and the other on the post if the light comes on you have a draw remove fuses or bulbs till it goes off. Make sure all the doors are closed when you do this.
If it lights with this test, yes definately an electrical leak.
If it doesn't light, there still may be a small leak, but the resistance is too high to get the bulb glow.

Disconnect the negative battery cable. With the meter set to measure DC AMPS, Put one probe on the end of the battery cable. Now strap the other probe around the negative battery post, leaving the meter between the negative battery cable and the negative post. Read the meter and see how many AMPS you have.
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If the multi-meter only has miliAmps, it may be worth first checking as a dartfreak suggested.
Higher currents through a meter can damage them. A meter that can handle a few amps will usually have a fuse in them.