I don't think so. The last thing you want is to have someone working for a manager who tried to fire them. I don't recall any case where a dismissal was overturned.

Keep in mind, the HR person will still have at least a few hours warning, since they are invited to the meeting ahead of time and will know what the meeting is about, because they have to prep the paperwork. So if they disagree, they are most likely to ask the manager to discuss it first.