No, unfortunately not. If you’re exceedingly lucky and the asteroid has an undetected moon it’s possible that the moon could occult the star, but for any given observer the odds on seeing that are quite low. Still, it’s worth watching if you’re near but not in the path of occultation. You could get lucky.
If I am in a deep sleep in my warm bed at 2am on a cold March morning...it means I already got lucky.
I'll pass on the star gazing until the warmer months.