It's possible, as is anything else, I'm not sure whether it's actually desirable. If it were to be that fast it would probably stick around at that price for approximately 10-20 minutes and then plunge into beariness that lasted way longer than anything we've seen so far.
The more violent the rise, the more grinding and dispiriting the fall. I for one would attempt to be long gone if it happened but the blockchain and every exchange would be so utterly seized you'd be very lucky to fully capitalise on it.
Its not desirable. The bear market would be severe after this spike, and would collide against the halving 4-year cycle, coming earlier at 2020 (instead of 2021). Since I discarded the cycle model, I believe it can happen, but its not desirable.
And as you pointed out, you would not be able to cash it out. The exchanges would not have enough fiat money for it. Only some whales with inside information would be able to cash out, provoking panic and bringing a new crypto winter. Exchanges would surely crash, some could be seized by governmental agencies. The whales cashing out could have some problems with authorities too, due to taxes and stuff like "origin of funds".
Not only that, the hype would bring the nocoiner brainlets to crypto, and they would be very angry at bitcoin after it plunges 90%. Even if the price recovered, with the potential to reach 1 million and stabilize right there, the well-know envy of the nocoiner would be higher, and holders could be hunted in some places. Even the security guards the holder hired could hit him with a $5 wrench to get his private keys. A dangerous situation.