It's never too late to start an exercise routine and diet. Whether or not it'll make a difference depends on how much time is left before spring break and how much of an improvement needs to be made.
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Since you've waited until very close to spring break to get started on a routine, you can rule out making a drastic difference in the way you look. The amount of time needed to make an improvement is different for all people.
Some people lose weight quickly and others have a hard time. The absolute minimum amount of time you'll need is about a month. Its safe to lose up to 2 pounds per week, so in a month, you can shed 8 pounds.
In most cases, 8 pounds is a sizeable difference. So the answer is yes, even last minute changes you make to increase your exercise and lower your calorie intake can help you achieve, if not a perfect, a better spring break body.