It does not seem so.
The link at the bottom of the article points to
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2743539/this , an article by Schmidt, Fox, Perez-Edgar and Hamer.
My (non-expert) reading of this is that baby fussiness is largely genetically determined, but that certain environmental factors also play significant roles.
We found evidence of a gene-endoenvironment interaction in predicting two components of temperament in a sample of typically developing children.
Of course, this is not sufficient evidence to claim that intelligence and fussiness covary; merely that fussiness is to some degree inherited. Of course, intelligence is to a large measure inherited, too, but equally needs the right environmental factors. However, no link is drawn between the twono link is drawn between the two.
An article at https://link.springer.com/article/10.1023%2FA%3A1024636317011this link suggestssuggests that a probable test for early giftedness is whether babies easily habituate to new stimulus, which could mean that they can absorb and retain sensory information better. My reading is that the study is very cautious not to make any firm claims about infant intelligence being identifiable by common heuristics.
I found there are many supposed signs of superior intelligence on baby-advice sites (see for instance https://www.babygaga.com/20-early-signs-that-the-newborn-will-have-a-high-iq/this link ) most of which are some form of folk-wisdom. For instance, the claim that smarter babies do not sleep well has been problematised many times over. E.g. https://www.ncbi.nlm.nih.gov/pubmed/6630331Here.