Up until he was about 4, my son had that painful combination of being extremely hyper and also destructive.
So, if we spent prolonged periods of time in the house, I literally could not take my eyes off him for a second.
Otherwise he'd be pulling things off the kitchen table, out of cupboards, drawers. Turning lights on and off, drawing on walls if he got the chance, stuffing loo roll down the toilet etc.
He also wouldn't sit and amuse himself and believe me, I really tried to 'train' him to do this!
As a result, spending a portion of the day outside became a necessity for me. He just needed to expend energy outside, for his behaviour to be manageable inside.
He's 5 now and whilst I still get a slight feeling of discontent if we have to spend the entire day inside, it is now possible.
OP try and play for a couple of hours, then put the tv on for a couple of hours, then play again, then tv again. Or, go to soft play if there's one near by?