Would it be a legal problem if they were to use different names or close enough but different names? I wonder because the real interest here is the physical app

Would it be a legal problem if they were to use different names or close enough but different names? I wonder because the real interest here is the physical appereance being the same or similar to the person, and I'm not aware of trademarks with human appereance. Technology disrupting societal beliefs system. Love it.