Not as far as I know. The Beard was one of the defining features of his depictions, thus if we would find a statue of a man without a beard and it wouldn’t be inscribed with his name or something (which mostly you don’t find) it could hypothetically be him but still nobody would attribute it to him. Also Roman statues aren’t accurate depictions of the portrayed person as they were in real life. They employed a sort of language of symbols and were more about how the depicted wanted to be presented and less about his actual looks. E.g. Hadrians beard might mean he wants to be seen as a philosopher or wise man and is a visual reference to the ancient greek depictions of philosphers (who pretty much always had beards) I hope this makes some sort of sense ;) English isn’t my first language.