It will probably make them take a few extra moments to verify it's really you but the Department of State in the United States has no rules or notices that you need to look identical to your photo. 

Here is a Q/A about facial hair and hair coloring on the DoS travel website I found:
https://travel.state.gov/content/travel/en/passports/requirements/photos.html

> *Q: Do I need a new photo if my appearance has changed (grown a beard, dyed my hair)?
> 
> A: Only if your appearance has significantly changed from what is in your current passport. Growing a beard or coloring your hair would not constitute a significant change. If you can still be identified from the photo in your current passport, you do not need to apply for a new passport.  
> 
> You may have to apply for a new passport if you have:
> 
> * Undergone significant facial surgery or trauma
> * Added or removed numerous/large facial piercings or tattoos
> * Undergone a significant amount of weight loss or gain
> * [Made a gender transition](https://travel.state.gov/content/travel/en/passports/apply-renew-passport/gender.html)
> 
> If the appearance of your child under the age of 16 has changed due to the normal aging process, you do not need to apply for a new passport for him or her.