Can my car kill a battery in 2 weeks?

Demonx2 said

Ideally just use your multimeter to see what the amp draw is. Should be zero in these old cars unless you have a clock.

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I've posted this before. ALWAYS start with a test lamp FIRST. The light brightness will allow you to judge how heavy a draw you have. On one large draw, I even used a tail lamp to "judge" current first

If you have a large enough draw, it can damage some meters. Not all meters are well protected like Fluke, but even so, the special fuses are expensive.