I Do not think so. We can log on to the council website and it tells you if the trees are protected, but to be honest, as to WHICH trees they refer to, well, it would need clarifying. We had an ash tree, at the corner of the lane, and the roots were going under my stone stable. Because it was near the lane, and public access etc. I got a proper tree feller in. He made me check with the council that it was not one of the protected ones, before doing the job.
I think it may be a case of them to know and us to find out, so the responsibility is with the owner of the tree to check.