If the babysitter is an employee of a babysitting bureau, sure. If they're an independent contractor, negotiating babysitting contracts on their own, no (well,

If the babysitter is an employee of a babysitting bureau, sure. If they're an independent contractor, negotiating babysitting contracts on their own, no (well, strictly speaking, they are at that point their own boss and can decide if they want to pay themselves for downtime or not). For any situation in-between, the answer probably ends somewhere on the spectrum between "yes" and "no".