Yes, there is lots of hiking and lots of fishing to be had. Peaks: Olancha, Monache, Brown, Templeton. buy yourself a copy of
Exploring the Southern Sierra: East Side by J.C. Jenkins and Ruby Johnson Jenkins. This book will give you great info and inspiration for a one-day or multi-day adventure. Also check with the park service about vehicle accessibility:
http://www.fs.fed.us/r5/sequoia/ or
Kern River Ranger District
P.O. Box 6
105 Whitney Road
Kernville, CA 93238
(760) 376-3781
p.s. Bring a water filter. Cattle is grazed in the Southern Sierra