Can Bitcoin Prices Reach $5,000 Again Without China?

Sure it will, and go much more over 5k, many many times, buy and HODL !!
The fact is no one can really say if it will or not, activities in the market sure feels like it will even before the end of October as it is steadily rising and trying to break the $4300 resistance presently, but however it ends up, there is always still hope. I guess without China will not impact any progress of bitcoins. I guess Chinese people will participate into bitcoin ecosystem by any means which will be more than enough for bitcoin to continue its progress.