I’m sure it does. Some changes are obvious, like your face looks more energetic when you smile, but stress of various kinds will affect both your appearance and your perception of your appearance. Being tired and stressed can affect your sleep, can make you feel drained and I know from myself my nails are weaker and crack more easily and my hair seems more frizzy when I’m tired or stressed. Of course there’s also the effect the stress will have on your mood which in turn may affect how you move your face which can affect wrinkles and such.
That being said I believe the biggest difference you might see would be in your own perception, when things are going to your disliking, it’s easy to psychologically transfer that dislike to yourself, maybe because your look is something you can affect and change – which may not be the case for the things around you.
As long as your aware that changing your look will not fix things around you that have gone wrong, I think it’d be a good way to achieve some success and feel empowered to go do something for yourself and your appearances, like a facial, spa, sunbed, haircut, etc.