If it's got a preservation order on it, then even more so.
Plymouth City Council are in hot water over cutting down trees during a redevelopment project. So yeah, it's a "thing"
TPO's are a total chocolate teapot not worth the paper. LA over see them no end of them get removed when political convenient. Saying that many of the tree protection officers I've dealt with a chocolate teapot would be of more use.
Unlike building's no national body over seeing protecting trees it's a right old mess like most of our environmental protection.