Will a defective water pump cause battery to fail?

What is your question?

Last week, my car had huge groaning sound and the workshop told me to continue drive the car until the replacement part arrive (estimated arrival date for parts was 1 week). This morning my car could not start at all and the workshop told me that the battery is completely flat and need replacement. There was no indication of low battery whatsoever throughout the material time. The question is whether a defective water pump can affect the battery, causing battery to fail?