Technically it's possible to create a Faucet that gives payments in $LEO. Especially in the same way BTC faucets are working right now.
The problem is marketing... It's easier to market very known coins for a faucet than little known ones such as $HIVE and $LEO. If there isn't big enough market, the faucet won't bring profit, and will die soon.
https://inleo.io/threads/view/thehivetuber/re-khaleelkazi-ty6bkfcx?referral=thehivetuber