Yes and no. According to Table 707.3.10 a fire barrier that is constructed to create separate fire areas would be a minimum 2 hour construction. Depending on the number of stories a one hour shaft may be all that is required so you will need to increase the rating of the shafts if they do not meet the requirements of Table 707.3.10.
[BF] FIRE AREA. The aggregate floor area enclosed and bounded by fire walls, fire barriers, exterior walls or horizontal assemblies of a building. Areas of the building not provided with surrounding walls shall be included in the fire area if such areas are included within the horizontal projection of the roof or floor next above.
707.3.10 Fire areas.
The fire barriers, fire walls or horizontal assemblies, or combination thereof, separating a single occupancy into different fire areas shall have a fire-resistance rating of not less than that indicated in Table 707.3.10. The fire barriers, fire walls or horizontal assemblies, or combination thereof, separating fire areas of mixed occupancies shall have a fire-resistance rating of not less than the highest value indicated in Table 707.3.10 for the occupancies under consideration.
TABLE 707.3.10
FIRE-RESISTANCE RATING REQUIREMENTS FOR
FIRE BARRIERS, FIRE WALLS OR HORIZONTAL
ASSEMBLIES BETWEEN FIRE AREAS
OCCUPANCY GROUP FIRE-RESISTANCE RATING
(hours)
H-1, H-2 4
F-1, H-3, S-1 3
A, B, E, F-2, H-4, H-5, I, M, R, S-2 2
U 1