It's impossible for Bitcoin to go down to $4000 again, however $5000 is still possible but I don't believe Bitcoin will re-test its support at $5000 area. If Bitcoin keeps on current price, it's very possible for a correction because the demand is not enough yet, might be just a little before it will hit and break more resistances when more demands come.
When Bitcoin was at $20,000 if you would have told me Bitcoin was going to fall to $10,000 I would have laughed. Look where we are today

Bu if Bitcoin did twice, it can do it thrice.
No demand? Since 2 weeks the 24h volume doubled and the number of transactions per day is near the same as back in Dec. 2017
Out of curiosity, I visited the Google Trends stats for the "Bitcoin" query, and guess what? Well, same as back in Dec 2017.
@BitHodler
There aren't many $5000 buyers, they will maybe disappear in a few days, if, it's not already done.