I bet it can. It can also tell you how much you are likely to inherit and what network of people you are linked to as well.
Only to the extent that your parents have the same DNA. The point is that economic success is strongly correlated to genetics independently of social position and nurturing.
Of course this will be controversial; it's the same kind of conclusion that spurred the Soviet Union to promote Lysenkoism and suppress Darwinism.
Suddely, the lords were French and the serfs were German.
1000 years later, you can predict someones socio-economic level by surname. French surnames do better than German ones. Surnames linked by blood to royalty do better than both.
1000 years. Lack of social mobility overrides genetics?
[I'm sure you can do better than this link but its what I found: https://www.telegraph.co.uk/news/newstopics/howaboutthat/842...]
A great example of this is the House of Habsburg. [1] They were one of the most powerful families in history completely dominating Europe politics with lineages of kings and emperors throughout the entire continent for some 5 centuries, including holding the throne of the Holy Roman Empire for more than 300 years. But the reason they're an interesting example is because they're also the namesake of the Habsburg Jaw - a genetic deformity that was greatly exaggerated in the family through the years due to excessive inbreeding. If you've seen a cartoon depiction of royalty they often are drawn with the extreme protruding chin, which is a reference to this deformity and family in particular.
That family was almost certainly extremely genetically fit at one point. But through excessive inbreeding they destroyed their own genetic lineage. In Spain this was especially pronounced with Charles II. [2] He was described as "short, lame, epileptic, senile, and bald before 35." He learned to talk at age 4, walk at 8. His Habsburg Jaw was so extreme he could not chew his own food. He, unsurprisingly, died childless at the age of 35 - ending 200 years of Habsburg rule in Spain. And to emphasize -- this is just one example. This family did not just rule Spain. They had lasting dynasties in Germany, Hungary, Croatia, England, Boehmia, Ireland, Portugal, and many other nations.
Today, the entire house of Habsburg is extinct.
Now, height is only about 70% genetic, 30% is diet and other environmental factors, but if you were looking at DNA and financial outcomes without any nod to culture, you might conclude tall people are naturally good at business.
Invader Zim satirised the culture of this pretty well with the aliens being led by 'The Tallest'.