I have a green card status in America. At present, I am studying and occasionally working, and my income is not high. May I ask if I can apply for my wife to visit relatives in this situation?

Of course, you can apply for your wife to visit relatives. But in most cases, your wife will be refused a visa, because your wife has an immigration tendency. The immigration officer will probably tell your wife that the best way is to apply for an immigrant visa directly. For you, the best way to get your wife to come to the United States is to apply for relative immigration directly.