Can you damage your adrenals by losing weight too fast?

I forgot to ask in my last post about Matt Damon damaging his adrenals; Is it possible to damage your adrenal glands from losing weight too fast? I'm sure it would if you practically starved yourself or gave yourself improper nutrition. But what about losing weight on a low carb high protein diet? I lost a lot of weight within a month because my body could only handle proteins and fats during one of my sickest moments. I lost 30 lbs in a month. I have read that you need to go low carb if your adrenals are burned out; in order to rest them and let them repair.

Does anyone have any input on this?