Yep there are some coins mineable by using browsers.

Recently I read about maxthon allowing users to mine a coin//token, read the below :

https://www.prnewswire.com/news-releases/maxthon-leads-worldwide-browsers-to-embrace-blockchain-technology-by-introducing-browser-mining-mechanism-for-cryptocurrency-300577466.html

With that being said, it may be possible to mine and get some profits bit now sure how much feasible it would be comparing it to the real mining, either the GPU or the ASIC!!

But mining industry finding all the new ways of mining going forward, not sure what future brings to us.