Bitcoin did it before and in much shorter timespan. In 2013 it tripled in value in 1 month and you're saying that doubling the price in 3 months is too much
We still have time and you should know that anything is possible with Bitcoin. I'm not willing to bet on it happening but it's possible.
I'd probably give it 50/50 chance.
you are missing the large number of differences. first of all the ATH in 2013 was mainly a manipulation by one exchange that was controlling more than 85% of the trading volume of that time called Mt Gox. secondly price was already on the rise and ready for that shoot up. there were also a lot of other reasons such as release of ASICs,... that led to a bigger rise.
in 2017 price went from $8k to $20k in less than 2 months. again the difference is that price was already on the rise for nearly 3 years starting from $150 and that was the final stage of that cycle. compared to then, we are now in the first steps of just having come out of the under price low of $3100.