Currently, Lawrence Tech does not directly organize opportunities for students to volunteer abroad with disaster relief, building homes, etc. However, There are many organizations that support these initiatives. Students can contact the organizations directly to participate.
The Fuller Center for Housing
The Fuller Center for Housing promotes collaborative and innovative partnerships with individuals and organizations in an unrelenting quest to provide adequate shelter for all people in need worldwide. They organize build opportunities in many different countries (e.g., Armenia, Haiti, El Salvador, etc) throughout the year.
For more information, visit their Global Builders page at http://fullercenter.org/global-builders/upcoming-trips.