It's possible sure. But we've seen a double bottom at around 6000, and furthermore the last drop to the 6000s stayed around there in the 6000s/7000s for a few weeks and volatility dropped, indicated that the price discovery for bitcoin's bottom was seemingly at an end. It's bottom was discovered so the price volatility dropped a bunch and it hung out there for a while. Now we are getting the boost off that bottom. This is likely the start of the inflection point from bear market to bull market. Not that is gonna go straight up, I expect it to take a couple of months to really put this floor behind Bitcoin and get back over $10k (though it could happen quicker). I think we've likely seen the end of challenging the floor in the 6000s. The rest of the year will probably be a gradual and rocky climb back to $20k.
I really want to hope this is the case considering how volatile the market may be. Double bottom or not, I know the long term is still intact as we have a lot of growth to watch out for but for the short term, I honestly just want to keep an open mind to anything knowing how the market has reacted in the past and even after seeing some level of breakout, we still ended up seeing some huge pull back, and I hope this would not be another scenario of same thing happening.
Another thing is that the news had become decidedly more positive recently. In Jan/Feb there was bad news hitting on a weekly or quicker basis (ad bans, hacks, regulatory stuff, country bans, etc). Right now the only news I see recently is just predictions by financial people and basic reporting on the price movements. Even good news earlier this year was getting gobbled up in the news by the bad news. Now the news itself is pretty neutral and sentiments seem to be positive and that the market as a whole is ready to start growing again.
I no doubt expect some pullbacks, but not severe pullbacks - not bear market stuff. Maybe we'll see a pullback to low 8000s before bitcoin moves to $10k, but I don't see any reason to think it's gonna drop back to under $8000 let alone $6000s. The rest of this year (or most of the year) is probably analogous to 2016 - gradual buildup back to the ATH.