Hi Chahn. I'm Greg, an Independent Advisor here to help until this is resolved.
I've tried for years to find a way to start a closed laptop which is Shut Down or Hibernating and there is no way. It requires an electrical connection via the Power Switch, so it's not anything that can be handled by Windows or the BIOS.
What I do is leave the lid open just enough to reach in to the power button. This is better for the laptop anyway because when it's closed it traps heat, so having it open even a small amount promotes circulation through the keyboard which is never entirely sealed off.
You could use only Sleep but this wears the RAM, better to hibernate which writes RAM to the hiberfile and shuts off power, then reloads the files when power button is pushed.
I hope this helps.