It's possible, and it is a major line of serious enquiry, but it's also being played up massively in with the 'the Chinese are dirty and eat disgusting stuff' hype. It's also possible that the market just provided the ideal conditions for spread, but had long since made the jump to humans. There's speculation that the virus was well adapted to humans at the time the Wuhan cases came to light, plus the first case identified in Wuhan pre-dated the market outbreak and didn't have any connections to the market. If anything, that likely happened afterwards.
Very close contact between humans and wildlife or domestic animals does carry a risk of disease, that's not limited purely to the meat trade. Another coronavirus identified by the Wuhan lab a few years ago is thought to have infected several workers who went into a mineshaft that was a bat roost. One of the major Ebola outbreaks was supposedly linked to a boy playing inside a hollowed out tree that was a bat roost. I totally agree that human impact on wildlife populations, especially expansion into wildlife habitat - including places full of mosquitoes, has a lot to answer for, but I don't think the meat trade is the be all and end all of zoonoses. Increasing encroachment on habitats, possibly climate change, but also dense human populations and global travel present ideal conditions for pandemics. People probably randomly catch animal diseases all the time and always have.