actualy any animal can get a hair blockage or enough hair to upset the tummy and make them puke(if they can puke). Cats are different in that it forms together in a mass(ball) in their stomach some of the modern treatments for hairballs include enzymes that break up the binding agents. I'm not convinced these are wise since the cat body obviously deleloped the ball spit up methode to keep hair out of the rest of the digestive system.

My dog puked a couple time from to much of her own hair but it was just normal tummy juive and loose hair.

Because bunnies are herbivores and the food doesn't digest well the hair can get wrapped up in the undigested matter and if not enough fiber in the diet the hair can cause to fecal matter to get stuck together in larger masses that might not pass or if you aren't brushing and it's a heavey shead then it can blocm farther up from their being a big mass of fur.