Not possible, Lorekeep:
fatigued: Tired to the point of impairment. A fatigued character
can neither run nor charge and takes a ?2 penalty to Strength and
Dexterity. Doing anything that would normally cause fatigue causes
the fatigued character to become exhausted. After 8 hours of
complete rest, fatigued characters are no longer fatigued.
exhausted: Tired to the point of significant impairment. An
exhausted character moves at half speed and takes a ?6 penalty to
Strength and Dexterity. After 1 hour of complete rest, an exhausted
character becomes fatigued. A fatigued character becomes exhausted
by doing something else that would normally cause fatigue.
You can't be both fatigued AND exhausted!
Oops, I'm rules lawyering again. Any DnD players see this?