Certainly, this is still possible today and may have become much easier compared to the early years of crypto, but the most important question is whether this is still profitable for the business owner or not. Certainly, the faucets are no longer useful to users, and the time they will spend following the faucets will be much more important than what they can get as a few satoshis, so do not expect a significant percentage of traffic. And even if it happens and you succeed in marketing your site, the traffic will be among the beginners who will not be affected by the ads on the site.
According to my expectation, the matter is no longer profitable for all parties.
I don't think a website with a faucet on its own can bring enough traffic for decent revenue. Sure, the owner can adjust the payout so that they will always have substantial profit from ad revenue after user payouts but nowadays who even clicks through faucet sites? 10 years ago you can find faucets paying 500-3000 satoshis per hour and per captcha with a low withdrawal fee with help from a central online wallet like microwallet that has shut down. Now sites give single digit satoshis per claim and requires thousands of claims to reach the threshold and cover the transaction fee. Sad to say the days of micro faucets are past, at least for BTC. Altcoins may still be viable but the audience will be too small to justify your project.