No chance. Many people (at least
10%) of my batch had sweaty palms, all threw grenade and all held
rifle. To not hold rifle you must have something serious, that will
really hinder your ability to be combat fit. Never ever heard of
anyone being excused rifle for sweaty palms before.
Like what taru said above, BMT now
issues gloves, so no problem even if you have sweaty
palms.