eah, why not? its not nearly as common, but they do it.. hell i would ask out a guy if i thought he liked me back.. but it really depends on the girl. if she is a shy girly girl chances are she wont.. but if you have a girl like me, tomboy-ish, skater.. and overall just loud (lol) the chances are higher. it really depends on the girl, though. (make sure to incorperate this..)
in your essay, you can argue about this topic being slightly sexist. i mean, girls can do anything boys can, so why is it suprising for a girl to ask out a guy? just look at sadies dances.. (if you are in high school/ graduated whatever you probably already know, if not google it (: ) you can say how society is backwards almost. the media says so much about "oh how girls can do anything.. everybodys beautiful blah blah" but when thats put into action many people look down upon it, why is that? you can also add a personal expirence (which always makes your arguement better) saying how you might have known a girl who asked out a guy and so on. if your a girl, tell about a time you asked someone out (make it up if you want, but be prepared to back it up) or if your a guy, tell how a girl asked you out. this will make you look like the topic means something to you instead of being a stupid essay lol.
feel free to email me if you need further help, i am an english junkie lol.. i love writing and essays and pretty much anything with words, lol.