Generally no. It is possible to heat a rack to correct temps with out heating the room but it means much more effort and modifications to the rack and t-stats. I actually am running a rack in a room that is about that range.

I run belly heat 4" the top 3 tiers are on one probe the bottom 2 on a second tstat probe. I use low wattage 17" flexwatt for the cool end the top 3 again on one probe and the bottom 2 on a second. (that means a herpstat 4 to run the rack) With 100% coverage of heat on the tubs I would say a failsafe is NOT OPTIONAL so add a fifth probe middle hot side on a on off t-stat.

The rack is fully insulated top bottom and sides. The tubs are vented towards the rear not at the front. (can be flipped for summer weather) this helps hold ambient air temps. I also routed slots in each shelf below the flexwatt. The flexwatt seals the slots to the top and holes drilled open them to the bottom front. They are open at the back. This helps to draw air from the cool room run it on the underside of the flexwatt to heat it up some and then it enters the tub at the front. This is partially ambient air temp heater. The rack holds highest/lowest temps as follows;

H/S= 91/89
cool=81/79
ambient D=84/78 (day)
ambient N=82/76 (night)

It took me a week of tinkering to get this stable before I placed snakes in it. It is possible but not easy. The simple solution and the one I would advise is just heat the room it is way easier! Or don't use a rack.