No, not that type of hot.
We mean hot as in DRY! Wood and direct heat, especially when we're talking about musical instruments, don't mix.
It's surprising how often we see an acoustic piano sitting over or near a heat source. If that's your situation, it's time for a move. The inconvenience of moving the piano is minor when compared to fixing a cracked soundboard!
P.S. Add a humidifier during the winter for added peace of mind.