That is certainly a good idea. A girl will know you are sincere by looking into her eyes, so doing so while asking for a kiss may bring you success. There are other ways to get her to kiss you as well:
-Compliment her. All girls love to be told they are pretty, or their hair looks good. If you compliment her beforehand, she will more than likely look forward to a kiss. 
- Look for cues that she is looking for a kiss. If you notice her licking her lips a lot of puckering them, she many be anticipating a smooch from you. 
- Hug her first. Usually, when you give a girl a hug and look into her eyes, she will know the kiss is coming and will respond appropriately. 
- Perhaps the number one rule is to make sure you are kissable. Before you get to school in the morning, make sure you have brushed your teeth and used mouthwash. You should even pop in a breath mint before meeting up with her. You will likely get your first kiss with her if you make yourself kissable!