Absolutely. When I ran a small datacenter, I instituted the change from 68F to 75F as a standard. In spite of predictions of disaster, the only thing that changed is the power bill went down.
If you have good airflow, you can go much higher than that. The critical factor is the temp of the components, not the room temp. Dell will warranty their equipment up to 115F (45C). Google runs some of their datacenters at 80F, and others at up to 95F.
There are some drawbacks to "hot" datacenters. They are less pleasant for humans, and there is less thermal cushion in the event of a cooling system failure. But many datacenters avoid that problem by replacing chillers with 100% outside ambient temp air cooling. That wouldn't work in Las Vegas (high of 115F today), but most places it is viable.