binghamton has gen ed requirements -- General Education at Binghamton University
and see links to checklists for details re the gen eds.
if he is in harpur, there is also a writing requirement -- Harpur College Academic Advising :: Ask an Advisor / FAQ
if he is in a different school within bighamton, he should check the specific requirements of that school.
there is no specific requirement that you take an english class. however, many of the classes that would satisfy the composition and writing requirements are english or lit courses. but there are also courses in other areas (including the sciences) that can meet those requirements. as a practical matter, i don't know how easy or difficult it would be to actually meet all of those the requirements without taking any english or lit courses -- being willing to take an english or lit course would certainly make it easier to fulfill those requirements.
just a slight disclaimer -- i don't know if anything is changing for class entering '09.