Yes, the main Bitsy power input (DCIN_POS, Bitsy J3.44) has a series diode for reverse-connection protection. However, the battery input (VBATT_POS, J3.38) does not.
If your customers might plug in battery power backwards, you should consider protecting the system yourself. One way to do this is to use a series fuse followed by a reverse-biased diode across the lines.
Drew Kidder ADS Technical Support
Edited by akidder 31-May-2002: Corrected typo: J3.48 -> J3.38 Edited by akidder 8-Jul-2002: Add "series diode"