Yes humans do have the ability to purr like a cat does.
To purr like a cat does as a human follow the below instructions.
Start breathing out of your mouth, like you are trying to see your breath in the winter.
Do it over and over.
Then push your tongue (Make sure it’s flat) against the front of the roof of your mouth.
Like, right behind the back of your front teeth. Don’t touch it to the roof of your mouth, just take notice of how air is moving through there like an air channel now, then move your tongue closer to the roof of your mouth.
It should automatically start to shudder. Do it lightly at first.
I do this and can purr like a cat does.
Even humans can bark sorta like dogs and meow like cats.