By one definition, normal can mean just common. However, in many places at different times, bad things were quite normal!
There were societies where headhunting was normal. There are societies where honor killings of women are normal. At one time, it was quite normal for Germans to be genocidal antisemites.
As you can see, this definition of normal simply means “common or typical.” It has nothing to do with right or wrong or good or bad, and in fact, this definition of normal means that a lot of pretty bad things are normal, at least in some places. Just because it’s normal doesn’t mean it’s good.
Jealousy and envy are normal. Are they good? Hardly.