Maybe, but you will make new friends, and your old friends will be there when you get back. Relationships formed on study abroad programs are often some of the strongest students form in college. Your homesickness will soon be replaced by excursions to exciting places, people from all over the world, and an appreciation for a new culture.
To thwart any homesickness or loneliness right away make it a point to get involved and create a life for yourself. It may be a temporary home, but it's still home. If you attend church weekly find a church. Volunteer with children if you are used to being surrounded by younger brothers, sisters, or cousins. This way you will find a spot for yourself in a new place and also make friends. If these are things that sound daunting to you, consider a more inclusive program with a study abroad provider. Many will help you find the perfect host family, include organized excursions with other students, help you get involved, and even have weekly events like dinner nights. They can be a priceless resource for the shy or first time traveler.
If you know the time away will be more difficult for you, remember there are numerous ways to stay in contact with family and friends back home. Make Skype dates, write your parents a weekly email, or start a blog so you can continuously share your experience.