Yes you can have faculty from other departments on your committee. And take classes in other departments as well.
Here is UMichigan’s dept, of Women’s and Gender Studies ( started in 1973, interdisciplinary, and originally feminist-focused)
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Here is McGill’s Gender, Sexuality, Feminist and Social Justice Studies dept/
Gender, Sexuality, Feminist, and Social Justice Studies is an interdisciplinary program that centrally engages contemporary and historical issues centered on gender, sexuality, feminism, and social justice. The program provides students with opportunities to explore the meanings and intersections of such categories as gender, race, class, sexual identification, age, ability, citizenship, and national identity, for example, and to examine how such categories might inform, reproduce, and challenge existing power relationships
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