Is it possible for an iphone to get more juice by turning it off?

When i say the battery is drained i mean the signal comes up the red one.
if i let this sit could this eventually come to 1% ? Or 2? Thats all i need because it won't charge because it can't get pass the logo screen

Well from my experience if my phone is at 2% I turn it off for about 10 minutes and when I turn it back in I'm at like 5%. I'm not sure about when the battery is completely drained though. What exactly do you mean by it won't go past the logo? Does it show the apple or the battery?
If your phone is completely dead it'll stay at the charging screen(the battery) for about 10-15 minutes before fully turning on.

No. You don't understand anything about electricity.