Yes! These are separate processes. You are time barred if you have not notified a compensation event within 8 weeks (if it is one you are responsible to notify). The time bar commences from when you knew it was a compensation event - not when you first raised an early warning.
You might notify an early warning about a potential problem. 12 weeks later it becomes a CE. It is from that point that you have 8 weeks to notify. The fact you raised an early warning is irrelevant at this point in terms of the time bar.