How can I recover my money sent to wrong person on Apple Pay?

If its already been accepted by the other person, you cannot. If it hasn't yet been accepted, then see the following support document.

click here ➜ Send and receive money with Apple Cash - Cancel or Dispute a payment - Apple Support

There is no protection for person to person payments. Its like handing money to a person physically.

Apple Cash is a service that’s administered by Green Dot Bank. Contact an Apple Cash Specialist at Green Dot Bank by calling (877)-233-8552 or by calling 1-800-MY-APPLE

https://applecash.greendot.com/termsconditions/