Any reason you are using json for the likes instead of array of uuid? (although I can't tell from your image what the actual json data looks like).
Either way to delete and element from an array I believe you will need to do it in SQL. Assuming you want to do the operation from the client that means calling with an rpc call.
If those are just uuid's in an array then you can just do UPDATE users SET ilikes = array_remove(ilikes,uuid).
json(b) is more complicated, but I don't use it enough to offer anything.