I graduated with a degree in Civil Engineering and I can attest to that with a good schedule you should be able to split your time between your sorority and your major (also depending what you major is and how well you can handle that major, like I personally think Civil is easier to grasp than Mechanical, which allows me to study a bit less than some others).
I'm not in a sorority but held positions in different societies and orgs, as well as having 2 part time jobs. If you only have your study and your sorority, chances are you should be able to make it. I have friends who are also in Fraternities/Sororities. A lot graduated with flying colors, but a few don't and those are the ones who can't discipline themselves well.
As you get into your Junior year, you will have to spend more time on homework and labs. Lab reports can take almost 5-6 hours to complete, homework problems can take up to an hour to 2 per problem. So time management IS important.
Also one more piece of advice is to keep in contact with your fellow engineer students. We always do group studies together and it helps a lot. Also it helps that when you need to form groups with people, you'll know right away who you would like to be with.
And another thing if you're considering about Tau Beta Pi, is that they don't accept students until your junior year. You would have to be in top 1/8 of your junior class or top 1/5 in your senior year to be invited into TBP and it's invitation based. If you have a chance to be invited into TBP, please remember not to ignore it since it could help you in your career as well as your sorority membership. Good luck!
