No. Not in the way you are describing anyway.
You can change how strong your character looks by using different body items, you can change your characters skin tone and hair colour by changing the colour (maybe even trying custom colours) and trying out some shading to make him look more gaunt or whatever, and as for weapons, try moving them to his shoulder. Can’t make his eyes dart from side to side though.
You’ve got to remember that Skyrim was created by a company with a large amount of money behind them, whilst Heromachine was created by one guy with not even a quarter of the money put into developing Skyrim, so you aren’t going to be able to do as much. But you can customise your character in almost unlimited ways provided you can figure out how to.