Yes, you can split it theoretically, if you have a strong signal.
A VHF/UHF antenna should also cover the FM band:
VHF (channels 2-13) = 30-300 MHz <-- this also covers the FM band, 88-108 MHz
UHF (channels 14-83) = 470-890 MHz (even though the entire UHF band is 300-3GHz)
Some newer antennas have a separate output for FM... If not, you should be able to use any splitter that is labeled to cover the correct frequencies. Most splitters I have around cover 5-2000MHz, some older ones were only designed to cover 5-1000MHz, but they'd also work. Keep in mind that a 2-way splitter will reduce the signal by 3.5dB on each out leg (50-60%), so it will only work if you have good enough signal.
If your TV signal is sketchy and you lose OTA HDTV channels when you introduce the splitter, it may be easier to use a separate dedicated FM antenna. I hope this helps.
Here are some other notes:
- higher frequencies will have bigger loss when split (i.e. UHF channels)
- a tap can be used instead of a splitter (it reduces signal by 1db on the OUT leg, and ~6db on the TAP leg). This can be used to incur the negligible loss on the TV side, and the higher loss on the FM side. See: http://www.speedguide.net/faq/what-i...tter-and-a-425