NCAA Women say no.
"Finger sweatbands are not permitted because of the ease in which they can fall off and become a hazard to players on court. Have the player remove them."
Here is the website for the bulletin:
http://www.ncaa.org/champadmin/baske...3/20030110.pdf
Those nasty hazardous finger sweatbands! Some of you are lucky to be alive. They also say no to the pre-wrap headbands... probably someone could get strangled.
Of course this isn't Federation Rules