Making 1 bitcoin with zero balance and in one month. Its going to be pretty hard, unless you get lucky on some gambling sites or trading. But for that you would need to spend a lot of time on the faucet sites.
If you are looking to earn 1 btc only from faucets sites then it will take long time and not sure when you will get that amount in your wallet and your electricity and internet cost will exceed then your income which doesn't make any sense to me.
Definitely earning from faucet will not give us 1 bitcoin or half of Bitcoin in a month. In order to earn 1 Bitcoin in 1 month, we should have an advance knowledge on area where we can earn Bitcoin like programming and trading. There are lots of high paying job order for veteran programmers and a boundless profit for a seasoned trader.
The only way to earn 1 BTC or half Bitcoin in a month is only possible to achieve if you have a lot of referrals that are generating passive income for you all day long. There are some people earning a good amount of money this way. If you check Freebitco.in stats for an example, you will see the top referrer players of the site. There is one with more than 80.000 referrals!
Now imagine how much this guy is earning everyday...