I didn't imply that it's impossible. I just mean it is silly. Imagine that you need to pick out your particular family emoji each time from all the possible combinations. Perhaps you would need to enter your race when you create a Google or Apple account to alleviate this. Or perhaps the vendor has already analyzed the cloud stored pictures of you and your family members, determined the age, race, gender and the resulting family tree and handily preselected the appropriate emoji for you. I mean this is an exaggeration, but that's how ridiculous I think single "human" emojis already are.
If you want to respond in a way that shows who you personally are, send a picture, today's messaging apps together with front and back facing cameras make it easier than ever before. If you want a quick impersonal throwaway response, there's always a yellow emoji. The in-between "catered to you" emojis are an awkward, uncanny middle ground.