I am among the people who get touchy about the term, "normal." I prefer "healthy" or "common/frequent" depending on the sense in which "normal" is frequently used.
Regarding your question - I think it is quite frequent that we are jealous of someone who does or gets something that we find desirable. I don't think it matters what society says is good or bad. The important factor is what you subjectively desire.
It's part of human nature. This said, I would argue that it's unhealthy because focusing on what others may get vs our own wants and needs creates a baseless comparison. I am aware from my personal studies and interests that almost all qualified people who study the topic of emotional intelligence describe jealousy as unhealthy. I don't rely on authorities, but when expert opinions coincide with my own personal experience, I generally feel safe sharing that view.
Based on your above post, it sounds like you want to die. I believe this is very common, or else forums like this one would not exist. Why do you think you are jealous of the other person, though? Alternatively, do you think that you shouldn't be jealous of someone completing a suicide? In other words, what would the knowledge that your reaction is normal or not tell you? Sorry if I'm being overly intellectual here!