No, that is not possible. The monitor does not have its own power supply, but draws power via USB-C including the video signal. Your iPhone cannot provide that much power.
And it wouldn't work either if a power source was connected to one USB-C port (and I would strongly advise against that), because the USB-C ports on the monitor only allow a pass-through (so they are not 2 full-fledged ports). This means that you can connect your laptop on one side and still charge your iPhone on the free USB-C port - and that too rather very slowly. Tested with iphone 12, XR, iphone 8.
