I went to a school where
everyone had a demanding major. Minors and double majors were also common. I majored in computer science and minored in economics. Some of my sisters majored in chemistry, mechanical engineering, mathematics...
Time management is the key. As long as you come across as being able to handle your coursework, sorority obligations, any other obligations you may have (clubs, sports, etc.), and a social life (oh yes, and sleep) you won't have a problem with recruitment. Of course, if you actually do pledge, you'll have to deliver