Can i start mining with ANT MINER? from here at little time, i'll get a ANT MINER to start mining bitcoins, and i want to know if i have some chance to get some coins with him.

Brand: ANT MINER

Model: BTC_1.6Gh/s

Overclock: 2.2 Gh/s

I choose ANT MINER because is cheap and i won't take risks buying something expensive that i don't know if i'll use for long time.

Power costs isn't applied, but i just want to know if i can make any money with it, and aproximately time that i'll take.
You can plug your specs into a bitcoin calculator like this one http://bitcoinwisdom.com/bitcoin/calculator but since you have such a low hash rate you shouldn't expect much since the difficulty will continue to keep rising.