Yes, depending on details of how the publication operates. Student writing that appears online done as part of school is subject to rules similar to student writing generally. You do not completely lose your constitutional protection for free expression when you walk into school. [1]  You cannot be punished just for expressing your ideas, as long as your expression doesn’t disrupt the school or interfere with others’ right to express their ideas. However, teachers and school administrators can censor material for “school-sponsored” Web sites as long as the limits are reasonably related to the school’s educational goals. [2]

[1] Tinker v. Des Moines Indep. Comm. Sch. Dist., 393 U.S. 503, 506 (1969). The case is discussed in note 3 under Speech and Expression.

[2] The case allowing school control of the contents of a sponsored school paper is Hazelwood School Dist. v. Kuhlmeier, 484 U.S. 260 (1988) (upholding principal’s decision to censor student stories on pregnancy and divorce written for school newspaper produced in journalism class).