[SPOILERS] Couldn't Okabe have saved...

Couldn't he have saved Mayuri (if he really wanted to travel to that time period) the same way he saved Kurisu after he got that message from himself? Like couldn't he have faked Mayuri's death so he would then go try to change it thus saving her. The one advantage I see to this way rather than doing it on Kurisu is that everyone retains their memory.