I don't think so. I've put every point into health, I wear dragonscale armor, and the only thing I use stamina for is to slow time when I'm aiming. Sometimes. If I want to escape or reposition myself I just use the whirlwind sprint and jog. Sometimes I use unrelenting force or iceform. I play on master difficulty, my character is a breton, I've been blessed by the lordstone, I'm level 28, my smithing skill is 100 and the perk tree is completely filled out. Archery is about 80 and mostly filled out. Light Armor is 61, speech is mid 40s, lockpicking is high 30s, and the rest is below 30.
I just have the last 3 mainquests to do and I'm halfway through the college of winterhold quests.