From photographers guide to the Sony RX-100 IV: under the section on Memory Recall Mode, are some details of how to. There may be other ways to do it. There may be other ways. I’ll keep looking as I get time.
Yes, I use memory recall. I have my bird in flight settings in a memory position on the function dial. The zoom is set at 600mm (full optical zoom). When I turn the dial to that position and select my bird setting among the 3 offered. The lens zooms to 600 and stays there as long as I have the dial in that position. Doesn't matter if the camera goes to sleep or I power it off and on again.