Yes, some junk faucets are paying 1 satoshi per claim/captcha solved 

But for a transaction via your wallet you can't send very few satoshis, I saw here that you need to send at least 546 satoshis (correct me if I'm wrong) to prevent dust transactions. It's a low amount anyway and doesn't worth. I don't like to make those low transactions, you pay many fees for many small amounts of satoshis.