Youre picuture is not very great... but yes you should be able to use the power adapter to feed 7.5 volts into the psone, and wired in parallel the screen as well. All the grounds of course can be connected together. I've not tested this so I'm not promising the ac adapter will handle the extra load. But my best guess is that it will. Make sure your adapter is 7.5 volts btw. If its for the psone original screen it should be.