noooo, the one I've sent you is one of the cheaper ones that just has the microphone so you can hear if the baby is crying, so if the power went the microphone would stop working and the speaker would start bleeping to let you know that the microphone wasn't working.
if you're using the monitor for the original purpose (i.e. checking your baby), then you would have either the camera or the microphone next to the baby, and either the screen or the speaker next to the bed. You're not monitoring a baby, so it doesn't matter where the microphone/camera is positioned as long as it's plugged in