No way this is possible, How can Binance control the price of Bitcoin? Where did this come from? Whats price of Bitcoin to do with Hackers who hacked Binance? Where do you see the manipulation?
It is normal for the price to go up by $500 or more, if it can go down by the same amount in a day or couple of days, this is natural and that is why it is called Bull run.
Stop thinking negative and remember this - if the price goes down it will also go up and vice versa.
Cheers