Possible? Absolutely. I've seen people do it in as little as 2 weeks, usually during hunting season up here especially when they were hiking in mountains all day. But they're burning between 5000 and 10000 calories a day doing that which is why they lose weight so rapidly.
But I think it would be hard to incorporate that into a normal month. You would have to have a serious caloric deficit of about 2333 calories a day (based on a 30 day month) which you would have to achieve through both diet AND exercise as diet alone you basically wouldn't be eating at all and that's not ok. I don't think I would go under 1200 cals a day personally, so you'd need to get another 1100 calories burned through exercise.
"A mistake is not failure but feedback. -Rod Gilbert"