No.
and just for luck, NO.
you dont understand gravity and pressure.
The hot pump will take water out of the hot tank and pressurise it. You cant compress water, so the only way you can pressure it is to force more water through the pipe than would move by gravity. So your hot tank will empty faster than the water will fall under gravity into the hot tank.
Connect two cold tanks, with two seperate LARGE bore pipes into the hot tank, and it might keep up. Three cold tanks with three large bore pipes would most likely do it. But then the water is leaving the tank faster than the heater can keep it hot.
What you are describing is doomed to failure and it will be an expensive and possibly very dangerous failure.
And dont even think about calling your insurance company to repair the damage.
Rip it all out, have a pressurised system installed. The scrap copper and brass will go a fair way towards the new build.