No, Apple Home Keys is an Apple feature that allows you to keep your keys in Apple Wallet. You can then unlock your door by tapping your iPhone or Apple Watch to the lock.
Apple HomeKit support, on the other hand, means that the lock shows up in your Apple Home as a device, and you can receive notifications and remotely lock and unlock your door.
Not all HomeKit compatible locks support Apple Home Keys.
All Apple Home Keys compatible lock support Apple HomeKit.