Even claiming from multiple faucets would not be enough to get 0.001 BTC per day (it was but, since the price has increased, most of the faucets have lowered their rewards), but yeah I guess you can make 0.001 BTC per day by using bitcoin games sites that come with high-low game etc. There are a handful of such sites. You should need some luck and time. The other option is investing and getting a small profit on your investment daily which I would not recommend.