Hello!
To answer this question we need to understand what a universal theme is.
A universal theme, is defined as being an idea that can apply to anyone regardless of different context, different backgrounds, different geographic locations and different cultures.
It's a central idea that can be connected to texts in various ways.
This being said, it can argued and said that greed is a universal theme. Because it can apply to anyone and can worded differently depending on context to fit more accurately.
So to sum it up in conclusion, yes, greed is a universal theme.
Hope this helps.