According to https://www.todaysmilitary.com/military-life/housi... the answer is no, but there is a stipulation:
Housing for National Guard and Reserve
While active-duty members join the Military on a full-time basis, the National Guard and Reserve are a part-time commitment. Since their training is only one weekend per month with a two-week commitment once a year, these service members usually have the opportunity to live at home.
Guardsmen and reservists who are entitled to a housing allowance will receive a special BAH anytime they’re on active duty for less than 30 days. If they are on active duty for 30 days or more, they’ll receive the full housing allowance rate (the same as active duty).