Generally yes. Sending morse is much easier than receiving it. Once you are comfortable receiving morse at 25wpm for example, the amount of practice needed to send at that speed is pretty minimal.
Somewhat. There's a skill to the timing that needs to be picked up in addition to the patterns you learn when learning to copy. Ideally, you're also practicing sending with some kind of local oscillator or your radio set to monitor mode. One reinforces the other.