Not literally, unless someone's literally getting eaten.
Vultures do more than eat. True, that's one of their functions. But a literal vulture capitalism would have probably included business entities created and maintained by the vultures themselves. They'd probably need an economy, a legal framework for establishing business entities, and a host of other traditional capitalistic structures. They'd have fantastic recycling and decomposition industries.
This gives me a great idea for a new hospice startup: To get stated, we'll need a bunch of hospital beds and a flock of vultures.
Like ${whatever the recent hot startup renting out goats to graze on customers' lawns}, but for hospice care!
“Like Uber, but for hospice care, our network of independent service providers will transport your loved one to the afterlife(*) cheaper, faster, and in better comfort than traditional services!
(*) Afterlife not guaranteed.”
Vultures wait until you're dead to pick over your bones.