Answer
Yes, Schneerson was married. In 1928, he married Chaya Mushka Schneerson, the daughter of Rabbi Yosef Yitzchak Schneersohn, the sixth Rebbe of Chabad-Lubavitch. Their marriage was a momentous event in the Chabad-Lubavitch community, and it brought together two prominent rabbinical families. Chaya Mushka was a devoted and supportive wife, and she played an important role in Schneerson's life and career.