Jessika Cowart is a footballer who plays as a midfielder or a defender for Damallsvenskan club IFK Kalmar. Born in the United States, she represents the Philippines women's national team.
Perhaps not exactly "famous," but Jessika Pava is an X-wing fighter pilot for the Resistance (call sign: Blue Three) in the 2015 film 'Star Wars: Episode VII The Force Awakens'. She is played by English actress Jessica Henwick who is better known for her role as Nymeria Sand in 'Game of Thrones'.
I just wanted to add that there isn't a single soul who spells my name right the first time. And most people don't even spell it right even if they have to copy it from a list - like they had in school. I do still like my name being unique, but it's something to consider.
Another form of this name, is French, and is Jessik. It may look strange, but the letter K in French is pronounced "Kah", so the pronunciation of Jessik, is "Jess-i-kah".