thats a pretty broad question. at a glance, id say yes, but the early levels are very trivial so to speak. as long as youre focusing on stam as one of your primary stats, your health will always be classified as "good" for the entirety of your warrior career.
id like to give you a better answer, but the stats of an early level character fluctuate so much, and there are so many possible builds....its just hard to say what "good" health is. the big question is, does it work for you?