Yes you can. Have you never heard of someone having an attractive personality? People also have different tastes and different ideas of what is attractive. You can also become more attractive as you age. You can also have plastic surgery.
Your genes that set physical attractiveness have little to do with just how attractive you actually are, who else may or may not find you attractive, and your chances for successfully passing on your genes.
Eg, your genes aren't the entire story, maybe not even most of the story.