I don’t think so. When you look at the historical record. Work either in the modern or agricultural sense has only existed for at most 5% of human existence.
Dividing things into intrinsically human and not is a false dichotomy. Our experience is always a mix of what comes from our biology and what comes from culture. Finding enjoyment in a craft or a puzzle may well have existed for thousands of years. And relationships are definitely effected by culture. The expectations around marriage for example have changed a lot.
I'd still consider hunting/gathering a form of work. And who knows, maybe the disposition for individuals to hyperfocus on that form of work led to more genetic success and desirability for reproduction, since it meant there would be more security of resources. I have no idea if these tendencies have a genetic component, totally spitballing here.
