This sounds like some power IC has a loose connection or cold solder joint and jostling and heating recreates a connection. To be certain, you could try booting with the laptop back panel open, if it fails, use a heat gun to gently apply heat to the motherboard and see if only doing that (without jostling) allows it to wake.
That is inherently a gift then, donation? No different that giving it away and morally lesser to giving to the poor. Breaks one of the rules.