Is there a way to filter liked images on shared album?????

You can select each synced collection in turn and do Library > Review Comments, which will sort the photos by Last Comment Time in descending order.  Then look in the Comments panel to see the dates of the most recent comment/like for the selected photos.  Not very convenient, but better than nothing.

Strangely, you can't sort by Last Comment Time if you have more than one synced collection selected.

For more powerful filtering capabilities of comments and likes, see the Any Comment plugin. But it's not nearly as convenient to use has having this simple feature built-in.

Please add your constructive opinion to the bug report:
https://community.adobe.com/t5/lightroom-classic-ideas/p-better-support-for-comments-and-likes-in-all-publish-services/idi-p/12248904

and be sure to click the Upvote button at the top-right and Follow at the bottom of the first post. That will make it a little more likely Adobe will prioritize the fix, and you'll be notified when the bug's status changes.

I read a rumor that Adobe is working on enhanced sync with LR Cloud (after publicly stating many years ago that there would be no more improvements to syncing).  So maybe that will also involve better support for handling comments and likes...one can hope!

What I do is use the Review Comments menu item available when you click on the yellow dialog icon on the collection. I then give them a red label. Not optimal, but once you're in the habit, it means you've something to filter on. As with @john beardsworth I think there's wasted opportunity there. 

Sadly, no.