Possible? Definitely! If you asked people in February 2013 if it was possible or probable that Bitcoin was worth $1000 in December 2013, they'd send you straight to the loony bin! But it happened. A crazy increase! And a 4- or 5-fold increase over the course of more than a year is possible with Bitcoin!
This is exactly why it WON'T happen. Most people bought bitcoin in February 2013 or earlier because merchant adoption hadn't happened yet, and there was a lot of hype about it happening and bitcoin going mainstream soon after. Those early adopters wanted to see what it was all about, but deep down didn't expect huge gains and were just interested in the potential. Most of them just tested the waters by investing a few hundred dollars at most.
Now all we hear is,
"When will bitcoin hit X amount of money?"
"Should I go all in?"
There is nothing particularly interesting to look forward to anymore. There was a lot of support behind bitcoin in 2013, but now the momentum is gone. Yes, there is the ETF, but that is not a bitcoin development, it's just another way for people to invest. But if they wanted to invest, they would have already invested!
Now, it's just become a get rich scheme. The public has decided they don't need bitcoin, so now it's a bunch of bag holders with big dreams and nothing to back it up. $1,000 will never happen again, my friends. It's over!