Quite possible here, but you wont know for sure until you break the ice and talk to her. Just try to be friends at first, providing that youre interested in her and let things work themselves out here and if its meant to be. It will happen but don't rush nor force it and be the perfect gentleman here. A sure shot way at any age, to break the ice and get things started is do your homework here.
Find out her likes and dislikes and then find some you two have in common and build off those. Girls and guys too like others who are interested in some of their likes and know when someone spent time finding these out. Really does work no matter what the age. Good luck and Merry Christmas