Yes… but there’s so many factors at play that I don’t know enough to speculate with any hope at accuracy about (but will because it’s interesting.)
These were modern humans so they had sapience and tools and some form of organization, but how widespread were they vs. the so called “megafauna” - we are talking about A LOT of species with very different biologies here that went extinct. And the timescale isn’t long enough so we know the smaller versions of some of these creatures existed at the same time.
Plus, was the hunting for food or defense? If primarily for food, how was the meat preserved? Its easier to imagine a group of humans with spears taking down a lone Direwolf than a pack of giant creatures.
It’s hard to reckon with humans being the primary factor in the demise of these creatures when there are still things like grizzly bears out there. I’m sure they didn’t help and in very select situations were the primary cause (such as when a very small isolated species was stuck on an island) but I just don’t know if I buy them being the primary cause of a large scale extinction of a type of organism.
The earliest estimates for large scale civilizations like the Mayans were around 7000 BC. It’s hard to imagine humans having such a widespread and profound effect without that level of organization.
But I’m a complete amateur on this subject, so this speculation is basically just what I find plausible with some cursory research. Clearly this is a hotly debated topic amongst scientists.