We had a gray striped kitty named Bianca we could do this to when I was a kid. If you rubbed her neck, she would curl into a compact kitty bundle.
At night, she would climb into bed with a random family member...then start kneading their side and sucking on the blanket, LOUDLY.
Then the person would wake up and shove her off the bed. And she would go to the next random family member and start "nursing" on them. The cycle would continue throughout the night.